Pudding to contain aromatic alcohol (10)
I believe the answer is:
aftershave
'aromatic alcohol' is the definition.
'pudding to contain' is the wordplay.
'pudding' becomes 'afters' (I've seen this before).
'to contain' becomes 'have'.
'afters'+'have'='AFTERSHAVE'
(Other definitions for aftershave that I've seen before include "Soothing spirit" , "Dad's expected present?" , "A smelly" , "Fragrance" , "liquid splashed in bathroom" .)