tv. to put food in one's mouth; to eat (something). : You're always feeding your face. You're going to get fat.
Dictionary of American Slang and Colloquial Expressions by Richard A. Spears.Fourth Edition. Copyright 2007. Published by McGraw Hill.
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Also, stuff one's face. Eat greedily, overeat, as in When Dave comes home he's apt to feed his face, or She won't lose any weight if she keeps stuffing her face like that. [Slang; c. 1900]