Hi pawnshoppeantelope !
Wow, Everyday Looper is your first app on your new iTouch

! Christmas present I suppose

.
To stop the looper, you have to do 1 tap with 3 fingers at the same time, not 3 taps with the same finger. Was that clear ?
If that was OK, does the 2 fingers tap - for play/pause - work ?
Update : Yes, I think it's a good idea to not delete your post. It's not the first time that someone thinks there is a problem with this gesture

. I should try to make it a bit clearer in the help screen / doc.
Have fun with the looper and tell me if there is any other unclear thing

!