I believe grip solvent, at least the one from Golf Works is naptha-based. It is similar to goo-gone. I will reuse the same tape unless it is highly damaged (i.e., bunched up such that it would leave an amount where I would feel it). It has to be a large amount for me to feel it since I use jumbomax grips. In any event, I find it makes tape removal pretty easy.
I do find that the Golf Works grip tape is relatively easy to come off because it is thicker. Most of the time I can peel it off in strips. Thinner tapes, like what I would find on a stock club are harder to remove with the ex