A grate, not quite shut (4)
I believe the answer is:
ajar
'not quite shut' is the definition.
(I've seen this before)
'a grate' is the wordplay.
'grate' becomes 'jar' (I've seen this before).
'a'+'jar'='AJAR'
(Other definitions for ajar that I've seen before include "opened tentatively?" , "Unlatched" , "Fractionally open" , "(Door) to, not shut" , "not slammed shut" .)