A pint? Not quite open (4)
I believe the answer is:
ajar
'not quite open' is the definition.
(ajar means slightly open)
'a pint?' is the wordplay.
'pint?' becomes 'jar' (I've seen this in other clues).
'a'+'jar'='AJAR'
(Other definitions for ajar that I've seen before include "Part-open" , "Partially open" , "letting in a little light?" , "Half open" , "A litle bit open" .)