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1.
The act of carrying on a conversation with someone without making direct eye contact with them.

Or

The act of carrying on a conversation with someone where their eyes are making sudden random darting movements which never make contact with the eyes of who that person is talking to.
Was he talking to me or to you? I couldn't tell because he was giving me the Remsen Eye.
by Lou Stoney June 19, 2006
 
2.
The act of carrying on a conversation with someone without making direct eye contact with them.

Or

The act of carrying on a conversation with someone where their eyes are making sudden random darting movements which never make contact with the eyes of who that person is talking to.

Was he talking to me or to you? I couldn't tell because he was giving me the Remsen Eye.

by Lou Stoney June 16, 2006