put (one's) eye out
To pierce or puncture one's eye such that one can no longer see out of it. The kid put his eye out playing with a pellet gun. I nearly put my eye out on the rod sticking out of that thing!
put someone's eye out
to puncture or harm someone's eye and destroy its ability to see. Careful with that stick or you'll put your eye out. He fell on a stick and almost put out his eye!