What you are feeling is a mixture of dirt, water, and muccus. The muccus and water is the sweat from your hand and the muccus is the sticky part.
Try cleaning with a product called Invisible Glass. It's an aerosol that you can get at your local auto parts store.
Spray a piece of Vanity Fair dinner napkin with it and wipe down the butt. Use a dry piece of Vanity to buff dry.
Why Vanity Fair dinner napkins? Because the won't scratch the clear coat on your cue like ordinary paper towels will.
Once, or twice a year, apply a coat of good quality car wax. :smile: