palm tree cock Share definition Flag When, instead of growing around the base and beyond, pubic hair grows on the tip of the penis. Dude, your pubes are growing in the wrong places. That looks like a palm tree. You've got a serious case of palm tree cock. palm tree cock by Kyodeek Bewp April 8, 2010 0 0 Get merch Get the palm tree cock mug. Buy Now — $32.95 See more merch