Crossword Genius

Close shaven, cutting head (7)

Ross

I believe the answer is:

airless

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'close' is the definition.
(synonyms)

I don't understand the rest of the clue.

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(Other definitions for airless that I've seen before include "Unventilated" , "Very stuffy" , "Stifling" , "Not ventilated" , "Still" .)

I've seen this clue in The Telegraph.
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