Root vegetable in his pudding (4)
I believe the answer is:
spud
'root vegetable' is the definition.
(spud is a kind of root vegetable)
'in his pudding' is the wordplay.
'in' indicates the answer is hidden within the clue.
'SPUD' is hidden within 'his pudding'.
(Other definitions for spud that I've seen before include "Spade; potato (slang)" , "Charlotte perhaps" , "Potato (informal)" , "Tater" , "One might have an eye" .)