Medical tape is made for doing what you want use it for (within a certain margin for error), so I'd try it if you have access to a supply. You might have problems getting it to stick to (ahem) slippery surfaces. Old-fashioned refrigerator tape (which may no longer be available) and Scotch tape should also be relatively harmless, but also may not adhere properly.

Duct tape has very much the effect issyrj describes and should only be used as a punishment, not for fun. The same would be true of electricians tape or any of the various rubberized tapes for automotive or plumbing repairs.

Good luck, and make sure to have Sylvie report back.