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1.
When you are talking to a person and see that one of their eyes is looking at you and the other is looking somewhere else.

A.K.A. - Cockeyed
His "Jimmy Eye" drives me crazy. I never know if he is looking at me or someone else when we talk.
by Kenny "Fucking" Powers March 08, 2010
1 0
 
2.
As of or pertaining to of one or more eyes on a persons face becoming lazy, especially when drunk.
"Joe was so pants clowned that he was giving the entire romm the jimmy eye."
by The JZA & The RZA August 26, 2004
5 6