It is an old male Albanian name that originates from the north of Albania. It is not very common today. You rarely hear it, and probably the only people you come across with the name Gjek is an old dude that's almost dying. Gjek is sometimes associated with Gjergj, or St. George. Usually Gjek is a gorgeous looking man, and the most importantly wise as fuck.
-What's your name?
My name is Gjek.
-oh dude you're definitely from the north.