Pure cork won't wrap, so they mix cork with other things, and make it most of it ends up being the other things that make it wrappable, formable, and so on. Cork is bark, you know. So "cork bar tape" refers to a category of bar tapes that look like cork and feel corkish, but in fact have quite a little cork in them; and don't smell like cork.

We have cork grips that are real cork. This explanation comes on the heels of a few disappointed complaints, and we take those seriously. If that dose-o'-reality doesn't ruin it for you, as it certainly doesn't for us, read on

Our most popular color is tan because it looks so fantastic when you shellac it. It looks  like leather, and if you don't shellac it,  it ends up looking gross with grey-to-black smudgy stuff from General Riding. So shellac it. Get Bullseye brand amber shellac, made by Zinser. Every paint store  in the world sells it, and  it's about $11 a quart.  One quart will cover about 50 bars.  
Here's a video of Mark shellacing cork grips and cotton tape.

Here's a link  that shows how to wrap twine over the ends, so you don't have to use electrical tape.