There's rice pudding for him (4)
I believe the answer is:
eric
'him' is the definition.
'there's rice pudding' is the wordplay.
'rice' can be anagrammed to 'ERIC'.
However, I'm not sure how the anagram is indicated.
'for' is the link.
Can you help me to learn more?
(Other definitions for eric that I've seen before include "---- Cantona, Manchester Utd favourite of the 1990s" , "Cantona or Clapton?" , "- the Red, discoverer of Greenland" , "-- Idle, comedian" , "Great Norwegian explorer .... the Red" .)