This is a tool that I use at home to enable me to look at what methods are available in most of the controls I use.

It is incomplete as it does not drill down far enough but it is much better than nothing.

Please be aware that using undocumented functions is not recommended by the DroidScript developers and you do so at your own risk.
Please also be aware that the “Manually entered code” option can be very dangerous.

Andreas Rozek would recognize much of the code as the heart of it is stolen from his post at https://groups.google.com/forum/#!topic/androidscript/o_RCNR5ozAE

Thanks also to Salvatore Fusto for finding a bug in the app.

introspector.js

// Introspection lite tool for home use by Steve Garman
// Main code stolen from AppInspector by Andreas Rozek 
//Global variables
var  myobj  =  app;
var  ListView,  menuView,  FunctionView
var  main_header_txt,  edtFilter,  dlg,  edtDlg;
var  lastMenu  =  "app";
var  pasteable  =  "null";
var  vers  =  Math.floor((app.GetVersion()       + .0005)  *  100);
var  docfold  =  "/sdcard/sjgDocs/androidscript/" + vers;
var  docfile  =  docfold  +  "/null.txt";
 
//Called when application is started.
function  OnStart()
  {    
    app.EnableBackKey( false );         //Create a layout with objects vertically centered.
        
    var  lay  =  app.CreateLayout( "linear",  "Vertical,FillXY" );      
    add_top_bar( lay ); 
    /**** prepare page area ****/
        
    var  PageArea  =  app.CreateLayout('frame', 'fillxy');    
    lay.AddChild(PageArea);
 
        
    var  control_list  =  "app,layout,Manually entered code,Button,CameraView,CheckBox"       + ",Crypt,Dialog,Email,Image,List,Locator,Notification,SeekBar"       + ",Sensor,SMS,Spinner,Text,TextEdit,ToggleButton"       + ",WebServer,WebView,YesNoDialog"    
    menuView  =  app.CreateList( control_list,  -1, -1,  'fillxy');    
    menuView.SetOnTouch(menuView_OnTouch);    
    PageArea.AddChild(menuView);    
    menuView.SetVisibility('Hide');
 
        
    ListView  =  app.CreateList("",  -1, -1,  'fillxy');    
    prepareFunctionList();
 
        
    ListView.SetOnTouch(showAppFunction);    
    PageArea.AddChild(ListView);
 
       /**** prepare detail view ****/
 
        
    FunctionView  =  app.CreateTextEdit('');    
    PageArea.AddChild(FunctionView);    
    FunctionView.SetVisibility('Hide');         //Add layout to app.    
        
    app.AddLayout( lay );    
    showMenuView();
  } //OnStart
 
function  add_top_bar (lyout,  opts)
  {   //basic top bar layout
      
    var  lay_bar  =  app.CreateLayout( "Linear",  "Horizontal,Left, FillX" );  
    lay_bar.SetBackGradient( "#444444",  "#888888" );
 
       //add app name if required - stolen for object/function name in this app
      
    main_header_txt  =  app.CreateText( lastMenu ,  -1,  -1 );  
    main_header_txt.SetTextSize( 24 );  
    main_header_txt.SetPadding( 0.01,  0,  0.01,  0 );  
    lay_bar.AddChild( main_header_txt );
 
      
    var  filterlabel  =  app.CreateText("Func filter:");  
    filterlabel.SetTextSize(18);  
    filterlabel.SetTextColor("#ff222222");  
    lay_bar.AddChild( filterlabel );  
    edtFilter  =  app.CreateTextEdit("", 0.3);  
    edtFilter.SetBackColor("#ff222222");  
    edtFilter.SetTextSize(18);  
    edtFilter.SetPadding( 0.01,  0,  0,  0.001 );  
    edtFilter.SetOnChange(edtFilterOnChange);  
    lay_bar.AddChild(edtFilter);
 
      
    lyout.AddChild( lay_bar );
  } //add_top_bar
 
function  menuView_OnTouch(name)
  {  
    lastMenu  =  name;  
    switch (name) 
    {    
      case  "layout":
                myobj  =  app.CreateLayout( "linear" ) ;        
        break;    
      case  "Button":
                myobj  =  app.CreateButton("x");        
        break;    
      case  "Text":
                myobj  =  main_header_txt;        
        break;    
      case  "Image":
                myobj  =  app.CreateImage( "/Sys/Img/Hello.png" );        
        break;    
      case  "Notification":
                myobj  =  app.CreateNotification() ;        
        break;    
      case  "CheckBox":
                myobj  =  app.CreateCheckBox( "x" );        
        break;    
      case  "Crypt":
                myobj  =  app.CreateCrypt();        
        break;    
      case  "Dialog":
                myobj  =  app.CreateDialog("");        
        break;    
      case  "ToggleButton":
                myobj  =  app.CreateToggle( "x" );        
        break;    
      case  "SeekBar":
                myobj  =  app.CreateSeekBar( "x" );        
        break;    
      case  "List":
                myobj  =  ListView;        
        break;    
      case  "TextEdit":
                myobj  =  FunctionView;        
        break;    
      case  "WebView":
                myobj  =  app.CreateWebView( 0.8, 0.8 );        
        break;    
      case  "WebServer":
                myobj  =  app.CreateWebServer( 8080,  "Upload,ListDir" );        
        break;    
      case  "CameraView":
                myobj  =  app.CreateCameraView( 0.8, 0.8 );        
        break;    
      case  "Sensor":
               myobj  =  app.CreateSensor( "Accelerometer" );       
        break;    
      case  "Email":
              myobj  =  app.CreateEmail( "mymail@gmail.com",  "MyPass" );      
        break;    
      case  "Locator":
               myobj  =  app.CreateLocator( "GPS,Network" );       
        break;    
      case  "Spinner":
               myobj =  app.CreateSpinner("1,2");       
        break;    
      case  "SMS":
               myobj  =  app.CreateSMS();       
        break;    
      case  "YesNoDialog":
                myobj  =  app.CreateYesNoDialog("");        
        break;    
      case ("Manually entered code"):
                showEval();        
        return;    
      default:
                myobj = app;        
        lastMenu  =  "app";    
    }     
    prepareFunctionList();  
    showOverview();  
    main_header_txt.SetText( lastMenu );
  } //menuView_OnTouch
 
  
function  prepareFunctionList()
  {
    /**** prepare list view ****/
 
        
    var  objFunctionList;    
    objFunctionList  =   [];    
    var  filter  =  edtFilter.GetText().trim().toLowerCase()     for  (var  Key  in  myobj) 
    {      
      var  keyword =  Key.toLowerCase()       if  ((filter  ==  "")  ||  (keyword.indexOf(filter)  >  -1))
      {        
        if  (myobj.hasOwnProperty(Key)  &&  (typeof  myobj[Key]  ===  'function')) 
        {          
          objFunctionList.push(Key);        
        };      
      }    
    };    
    objFunctionList.sort();    
    ListView.SetList( objFunctionList.join(','),  ",")     if (filter  !=  "" )  filter  =  "Filtered ["  +  filter  +  "]\n";    
    pasteable  =  filter  +  lastMenu  +  ".";    
    var  copyDelim  =  "\n"  +  lastMenu  +  ".";    
    pasteable  +=  objFunctionList.join( copyDelim )     docfile  =  docfold  +  "/"  +  lastMenu  +  ".txt";  
  } //prepareFunctionList
    
function  showMenuView()
  {    
    ListView.SetVisibility('hide');    
    FunctionView.SetVisibility('hide');    
    menuView.SetVisibility('show');    
    main_header_txt.SetText( "Choose Control" );  
  } //showMenuView
 
  
function  showAppFunction (Name) 
  {    
    FunctionView.SetText(String(myobj[Name]));    
    main_header_txt.SetText( lastMenu  +  "."  +  Name );    
    ListView.SetVisibility('hide');    
    menuView.SetVisibility('hide');    
    FunctionView.SetVisibility('show');  
  } //showAppFunction
 
  
function  showOverview () 
  {    
    ListView.SetVisibility('show');    
    FunctionView.SetVisibility('hide');    
    menuView.SetVisibility('hide');    
    main_header_txt.SetText( lastMenu );  
  } //showOverview
    
function  edtFilterOnChange()
  {    
    if ( ListView.GetVisibility()  ==  "Show" )
    {      
      prepareFunctionList();     
    }  
  } //edtFilterOnChange
 
  
function  OnBack()
  {    
    if  (menuView.GetVisibility()  ==  "Show") 
    {      
      var  pasteOnExit  =  app.CreateYesNoDialog( "Copy to clipboard and create text file?" );      
      pasteOnExit.SetOnTouch( pasteOnExit_OnTouch );    
    }    
    else  if ( ListView.GetVisibility()  ==  "Show" )  showMenuView();    
    else  showOverview();  
  } //OnBack
 
  
function  pasteOnExit_OnTouch( result )
  {    
    if ( result == "Yes" )
    {      
      app.SetClipboardText( pasteable );      
      if ( ! app.FolderExists( docfold ) )         app.MakeFolder ( docfold );      
      app.WriteFile( docfile,  pasteable );    
    }    
    app.Exit();   
  } //pasteOnExit
function  showEval()
  {    
    dlg  =  app.CreateDialog("eval - use with care");    
    var  layDlg  =  app.CreateLayout( "linear",  "vertical,fillxy,left" );    
    layDlg.SetPadding( 0.02,  0,  0.02,  0.02 );    
    edtDlg  =  app.CreateTextEdit('app.CreateText( "Hello" )');    
    edtDlg.SetCursorPos(edtDlg.GetText().length);    
    layDlg.AddChild(edtDlg);    
    dlg.AddLayout( layDlg );    
    var  horiz  =  app.CreateLayout("linear",  "horizontal,fillxy");    
    horiz.SetPadding( 0.02,  0.02,  0.02,  0 );    
    var  btn  =  app.CreateButton("Ok",  0.2);    
    btn.SetOnTouch(dlg_ok);    
    horiz.AddChild(btn);    
    btn  =  app.CreateButton("Cancel", 0.2);    
    btn.SetOnTouch(dlg_canc);    
    horiz.AddChild(btn);    
    layDlg.AddChild(horiz);    
    dlg.Show();
  } //showEval
function  dlg_ok()
  {    
    app.HideKeyboard();    
    dlg.Dismiss();    
    myobj  =  eval(edtDlg.GetText());    
    prepareFunctionList();    
    showOverview();    
    if  ((myobj  !=  null)  &&  (myobj.hasOwnProperty("GetType")))       lastMenu  =  myobj.GetType();    
    else       lastMenu  =  "Eval";    
    main_header_txt.SetText( lastMenu );
  } //dlg_ok
function  dlg_canc()
  {    
    app.HideKeyboard();    
    dlg.Dismiss();
  } //dlg_canc
 

I have placed an spk of this app at http://hudl.sgarman.net/public/spk/SJGinspect.spk which should create a project in the DroidScript IDE for you.

And for the sake of completeness, there is an apk at http://androidscript.sgarman.net/apk/SJGinspect.apk which you could download and install if your device is set up to allow apks that don't come from Google Play.