I'd do that to my cat but they HATE the tape! ;)
Now THAT'S peculiar, my cats act like it's Chritmas MORNING when they hear me peeling cellophane packing tape off the roll, they come running and they have to sit in my lap while I dab the tape all over them and round up any loose hair, sometimes I let it catch tight to their hackles, and they feign that they don't like it, turn and half-heartedly act asd if they are going to "bite" the tape, but you can tell they LOVE it.
Put a bit on their tail though and they go NUTS!!!!