Crossword Genius

VIP with a swollen head, presumably (6)

Ross

I believe the answer is:

bigwig

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'vip' is the definition.
(I've seen this in another clue)

I don't understand how the remainder of the clue works.

Can you help me to learn more?

(Other definitions for bigwig that I've seen before include "Somebody" , "Important person (slang)" , "Mogul" , "Important person with large toupee" , "VIP with large toupee" .)

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