I don't use rubberized cork on the butt of my handles. Go to the auto parts store and buy some rubberized cork gasket material. It comes in a roll, inexpensive. Comes in 1/16 and 1/8 inch thickness. I let the last cork ring stick out past the blank just a hair. Cut a circle of the cork gasket material little bigger than cork ring. Use contact cement on both last cork on handle and gasket material. When contact cement dry, place together, instant stick. Cut off excess gasket material with knife or scissors, then sand to finish. Makes good looking job, and lighter than a 1/2 inch rubberized cork ring.
Rip