Tape Tap v2 - The Evil Twin

Now with improved grip control and added slicing edges. Tape beware, your time has come!
Unless you own a fancy tape dispenser; you only have two options with tape. Either fold the end over and discard that piece when you need a new length. Or you can orbit the tape repeatedly, using eyes and fingernails to locate and pry up the tape end. I give you option three, the Tape Tap. Adhere the tape end to this tap and save yourself some trouble.