Cork is wood and therefore should be treated with products that protect wood.
Doctor Slick is made with expensive plant derived oils and waxes which will keep cork supple and compressible with the needed moisture that prevents cracking and flaking. An exclusive extract of Slippery Elm Bark makes Doctor Slick lubricate well and it is not sticky or greasy like petroleum cork grease.
Other petroleum based chap stick cork greases will destroy your cork, turn it black, and will loosen the glue holding the cork on the tenon.
Doctor Slick comes in many sizes and in tubes and tubs. It will preserve your cork for many years to come.