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In reference to actors (William Shatner comes immediately to mind) chewing the scenery means overacting or over-emoting.
His expression of being shocked by the murder was so great he was chewing the scenery.
by Urban Nate December 03, 2009
To display excessive emotion or to act in an exaggerated manner while performing.
Actors like Johnny Depp, William Shatner, and Tim Curry are well know for chewing the scenery.
by 2tmfp9 July 10, 2011