Every once in a while I see a post where electrical tape is mentioned. As many have found out the hard/messy way, electrical tape adhesive can make a sticky mess. Especially when used on bar tape.
Try "Loom Tape". It does not have any adhesive.
Wire looms in cars are NOT wrapped in electrical tape. Instead they are wrapped in loom tape. Loom tape is like electrical tape without the adhesive. I use it on my handlebar tape and it works very well. I have it wrapped on the nose of one of the saddles and it is holding well. And with NO sticky mess.
Maybe loom tape has been posted before, but I didn't see any in the search I did.
BTW ... I use the vinyl type tape, not the cloth loom tape
Cheap electrical tape = BAD Loom tape = GOOD