I've removed my bar tape that came on my Tarmac several times and put it back on. It's what ever Specialized sells. It's got a adhesive strip on it. But being careful unwrapping it let me reuse it. It was easier every time I had to unwrap it. Not canvas though. Just some dense rubbery foam or something.

However, if you want to pay more for tape that's easier to re-use, consider that less expensive tape might let you put new tape on each time you need to fiddle with the position of components on your bars. If instead, your tape is loosening up after a time, then you are wrapping it the wrong direction.