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Smiling by means of staring off in space and forming your lips usually so that that top lip is arched and only the top row of teeth show. Then end result usually ends in looking like an idiotic redneck.
Paula: Why did you not load that picture of us on facebook? I wanted to make that my new default picture.

Chad: Sorry, but someone made a Conway Smile in the background, and you know I can't be associated with rednecks.
by John Footpeniz December 05, 2008
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Conway Smile is a type of fellatio whereby the teeth are employed to stimulate the penis. It is believed that people with big teeth are good at this.
I picked up a girl in a bar with big buck teeth, I wanted to take her home and hoped that she gave me a conway smile,
by Artichoke Boy June 07, 2016
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