#DefineSubRoutine OutlookQuitRoutine()
   Message("Outlook Quitting", "Subroutine Initiated")
   Return
#EndSubRoutine

objOutlook = ObjectOpen("Outlook.Application")
oln = objOutlook.GetNameSpace("MAPI")
oln.logon("", "", 0, 1)
;
OutlookApp = oln.application
Message("Outlook Version", OutlookApp.version)
ClipPut(OutlookApp.version)
;
objecteventadd(OutlookApp, "Quit", "OutlookQuitRoutine")  ;<-- 1752 Object does not support events...
;
;foreach Folder in oln.Folders
;   message("Debug", Folder.name)
;   forEach SubFolder in Folder.Folders
;      display(1, "SubFolder", SubFolder.name)
;   next
;next
;
oln.application.quit
oln   = 0
;
Exit

I did some poking around in my Outlook help file and found...

Quit Event
See Also Applies To Example Specifics 
Occurs when Microsoft Outlook begins to close. This event is not available in VBScript.

Sub object_Quit()

object An expression that evaluates to an Application object.

Example
This example displays a farewell message when Microsoft Outlook exits. The sample code must be placed in a class module, and the Initialize_handler routine must be called before the event procedure can be called by Outlook.

Dim WithEvents myOlApp As Outlook.Application

Sub Initialize_handler()
Set myOlApp = CreateObject("Outlook.application")
End Sub

Private Sub myOlApp_Quit()
MsgBox "Goodbye, " & Application.GetNamespace("MAPI").CurrentUser
End Sub