Drink in private area (3)
I believe the answer is:
tea
'drink' is the definition.
(tea is a drink)
'in private area' is the wordplay.
'in' says the answer is hidden in the clue.
'TEA' can be found hidden inside 'private area'.
(Other definitions for tea that I've seen before include "bush" , "Lapsang souchong" , "Provide a meal" , "Infused beverage" , "Beverage; meal" .)