Close shaven Cockney? (7)
I believe the answer is:
airless
This clue is a double definition.
'close' is the first definition.
(synonyms)
'shaven cockney?' is the second definition.
('hairless' said with the 'H' dropped - a cockney accent.)
(Other definitions for airless that I've seen before include "Stifling" , "Unventilated" , "Lacking ventilation" , "Close" , "Not ventilated" .)