when in bettercut click activity and everything should show up, and to return the images back to stock, just delete the shortcut and add the normal one from your app tray
How were you using bettercut?
If you just open bettercut and select "Edit Shortcut" it will only show you existing shortcuts that are on your home screen. So if you don't have a handcent shortcut on your home screen, it won't show up there. You'd have to back out and select "New Shortcut" instead. That's where you'll find the activity menu.
Also, If you long press on your home screen, select "shortcuts", and then select "bettercut", you'll get that same menu where "activity" will be one of the options. In there will be a full list of all of your programs and stuff. You should be able to find handcent in there.
Not sure about your experience with Bettercut but I hope that helps.
In theory, theory and practice are the same. In practice, they differ.