Originally Posted by Andy Somnifac

I've wrapped my bars this way for literally tens of thousands of miles (20k+), across multiple bikes and it has never been an issue. The surface of the tape is worn down and through (and thus needs to be replaced) before this has happened. And this is not with cloth tape. My preferred wrap are the Lizard Skins (usually the 2.5mm) wrap, and it's never been a problem.

The only thing I can think of that could be causing this to happen to someone is gripping the bars way too tight, which is a whole different problem. Loosen up and relax.