Oddly sloppy, making concession (3)
I believe the answer is:
sop
'concession' is the definition.
(sop is a kind of concession)
'oddly sloppy' is the wordplay.
'oddly' means one should take alternating letters.
The alternating letters of 'sloppy' are 'SOP'.
'making' is the link.
(Other definitions for sop that I've seen before include "Concession of philosophy" , "Minor concession" , "Concession given to mollify or placate" , "A concession or bribe, once offered to Cerberus" , "A bribe or appeasement" .)