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1.
When something both fascinates yet freaks you out. Can also be something that is weird but completely awesome. Also can be used towards someone who has said something odd, ex: "You geek me."

Most used in the phrase, "That geeks me."
"That geeks me out."

Jan: "Hey! Look at that girl with the skin tight leopard pants."
Joy: "Oh god... That geeks me."
by Jocelyn Relaigh October 20, 2010