denim bar tape?

You need no stick, just get a strip of thin denim (stretchfit would be best) and wrap from the bottom up, then just secure with a piece of tape at the top as you would with any bartape. Just make sure you wrap it very tight and tidy and you'll be fine.

This is good advice.

One of the problems you'll have is that the edges aren't chamfered, so you won't have the smooth transition you have on bartape. (look at the pics of the edges on the denim posted)

Cloth tape is thin enough, and can be wound tight enough for this not to notice. Therefore the key, as Nahguavkire pointed out, is having something thin, and ideally stretchy.

Your other option is using a whole piece and stitch like this: