Run away from pudding, say (6)
I believe the answer is:
desert
'run away from' is the definition.
(thesaurus)
'pudding say' is the wordplay.
'pudding' becomes 'dessert' (I've seen this before).
'say' indicates a 'sounds like' (homophone) clue.
'dessert' sounds like 'DESERT'.
(Other definitions for desert that I've seen before include "Merit < leave" , "Abscond from forces" , "Abandon; dry region" , "Abandon in wasteland" , "See 33 Down" .)