Raising hat, is head of theatre snobbish? (7)
I believe the answer is:
elitist
'snobbish?' is the definition.
(I've seen this in another clue)
'raising hat is head of theatre' is the wordplay.
'raising' says the letters should be written backwards (in a down clue, letters go up).
'hat' becomes 'tile' (old-fashioned term for a hat).
'head of' suggests taking the first letters.
The first letter of 'theatre' is 't'.
'tile' back-to-front is 'elit'.
'elit'+'is'+'t'='ELITIST'
(Other definitions for elitist that I've seen before include "Narrowly superior" , "One without the common touch" , "One who believes that certain people are superior" , "Believer in the superiority of a few" , "Favouring exclusivity" .)