Lack of agreement in recess (4)
I believe the answer is:
nook
'recess' is the definition.
(thesaurus)
'lack of agreement' is the wordplay.
'lack of' becomes 'no' (lack of money is no money).
'agreement' becomes 'ok' (I've seen this in other clues).
'no'+'ok'='NOOK'
'in' is the link.
(Other definitions for nook that I've seen before include "small secure zone" , "Comfortable corner" , "Comfy corner" , "Interior angle formed where two walls meet" , "Secluded spot" .)