Recess in negative, all right (4)
I believe the answer is:
nook
'recess' is the definition.
(a nook is an architectural recess)
'negative all right' is the wordplay.
'negative' becomes 'no' (no is a kind of negative).
'all right' becomes 'ok' (synonyms).
'no'+'ok'='NOOK'
'in' is the link.
(Other definitions for nook that I've seen before include "Cosy corner" , "shady retreat" , "Cranny or niche" , "Secluded corner" , "Comfortable corner" .)