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Phrase(s): *the big eye
1. a flirtatious look or gaze; a long look to get another’s attention. (*Typically: get ~; give someone ~.) • Look at that pretty girl giving you the big eye. • I thought she was cute, so I gave her the big eye. 2. obvious eye contact with someone. (*Typically: get ~; give someone ~.) • Tom gave me the big eye to let me know he wanted to talk to me. • I tried to give her the big eye, but she never looked my way.
McGrawhill's American Idioms And Phrasal Verbs