Briefly crave pasty (3)
I believe the answer is:
wan
'pasty' is the definition.
(synonyms)
'briefly crave' is the wordplay.
'briefly' means to remove the last letter.
'crave' becomes 'want' (I've seen this before).
'want' with its final letter taken off is 'WAN'.
(Other definitions for wan that I've seen before include "Pale and ill-looking" , "Pallid" , "Pale and weak-looking" , "Wheyfaced" , "Pale and looking ill" .)