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Bigwig
Informal Usage
Used informally to refer to an influential person, often with a hint of humor or irony. 
Context Clues
The word is often used with qualifiers specifying the context, like 'political' or 'industry', to clarify the sphere of influence. 
Not Literally Big
'Bigwig' is metaphorical and doesn't refer to the person's physical size, but to their status or influence. 