Snobbish, but not winning sympathy (4)
I believe the answer is:
pity
'sympathy' is the definition.
(pity is a kind of sympathy)
'snobbish but not winning' is the wordplay.
'snobbish' becomes 'uppity' (I've seen this before).
'but not' is a deletion indicator.
'winning' becomes 'up' (I've seen this in other clues).
'uppity' with 'up' taken out is 'PITY'.
(Other definitions for pity that I've seen before include "Cause for regret" , "Sympathy for others" , "Have sympathetic feelings toward" , "Cause of disappointment" , "Ruth" .)