Have a little drink? (3)
I believe the answer is:
sip
This clue is a double definition.
'have' is the first definition.
(I know this)
'a little drink?' is the second definition.
(I've seen this in another clue)
(Other definitions for sip that I've seen before include "Drink slowly" , "Drink daintily" , "Tiny amount of drink" , "Drink gingerly" , "Drink in tiny mouthfuls" .)