I have used 3M electrical tape for handlebar wrap jobs and protecting frames in various places in the past, but I had some of this stuff laying around and I thought "why not?". It is EPR tape, which has no adhesive. You stretch it around objects and it fuses to itself. It works great! It doesn't leave any sticky residue on cork tape, handlebars (if you use it to tie the brake cables) or on the frame--you just peel or cut it off and it's only stuck to itself. It holds its place by the pressure of the wrapping. It is slightly tacky-feeling at first (why I wouldn't wrap the entire handlebars in it) but I have used the same tape to wrap handles of other things and can report that the tackiness wears off over time. And as a bonus, it will protect you from up to 22,000 volts if you ever ride your bike into an electrical substation. Disadvantage is it's kind of expensive.

http://www.mcmaster.com/#epr-rubber-tape/=i3y3ho