Sweaty hands

During the past two cycling trips I have had this unexpected problem. Its been rather hot out (after all it is Texas and it is Summer). My arms are covered in sweat. And that sweat flows down the arms to my hands where it drips off. And drips and drips and drips. For the whole trip. So at the end of the ride, my hands are rather pruney. I guess I need to try out some wrist sweatbands...