I may be late to the game on this but thought I would share anyway just in case it helps someone.
I had a thin CPL that I could not get off my lens, and the fact it was so thin and the upper ring rotates it was difficult to grip. I was trying to figure out a way to grab it with equal pressure w/o damaging it. Then I came acorss one of those rubber wrist bands that people wear that have sayings on them, Lance Armstrong I think started these with his "Live Strong" yellow wrist band campaign. Anyway it's like a thick rubberband, I put it around the filter and it took it right off.
So now I carry one in my bag, hope this is helpful.