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2.
Eye irritation caused by urban pollutants
I can barely see! The LA smog gave me terrible Brooklyn eye.
by minidefiner July 27, 2009
 
1.
Eye pain and puffiness caused initially by airborne irritants such as smog and dust commonly found in New York City -- sometimes lasting for days.

Colloquial term, common in the Northeastern United States.
Person 1: I woke up with a terrible headache around my left eye.

Person 2: Weren't you in New York City yesterday? You have Brooklyn eye. Get some fresh air and it should go away in a couple days.
by Prof. Whiskers April 15, 2009