Enjoy following sweet scent (10)
I believe the answer is:
aftershave
'scent' is the definition.
'enjoy following sweet' is the wordplay.
'enjoy' becomes 'have' (to enjoy can mean have or have use of).
'following' says to put letters next to each other.
'sweet' becomes 'afters' (both can mean dessert or pudding).
'have' after 'afters' is 'AFTERSHAVE'.
(Other definitions for aftershave that I've seen before include "cheeky alcoholic preparation" , "Fragrance" , "styptic lotion" , "Soothing spirit" , "A smelly" .)