Have something in common, done with drink (7)
I believe the answer is:
overlap
'have something in common' is the definition.
(I've seen this before)
'done with drink' is the wordplay.
'done with' becomes 'over' (similar in meaning as in 'over and done with').
'drink' becomes 'lap' (lap can mean to drink).
'over'+'lap'='OVERLAP'
(Other definitions for overlap that I've seen before include "have something in common" , "Partially coincide" , "Partly cover - a plover (anag)" , "Extend beyond edge of a thing and partly cover it" , "Imbricate" .)