Root vegetable in his pudding (4)
I believe the answer is:
spud
'root vegetable' is the definition.
(I know that spud is a type of root vegetable)
'in his pudding' is the wordplay.
'in' says the answer is hidden in the clue.
'SPUD' is hidden in the letters of '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" .)