Drink in private afterwards (3)
I believe the answer is:
tea
'drink' is the definition.
(tea is a drink)
'in private afterwards' is the wordplay.
'in' says the answer is hidden in the clue.
'TEA' is hidden in the letters of 'private afterwards'.
(Other definitions for tea that I've seen before include "leaves much to be desired?" , "Principally" , "Hot beverage" , "US party" , "grass" .)