Admitted, granted (8)
I believe the answer is:
I believe this clue is a double definition.
'admitted' is the first definition.
(conceding is a kind of admiting)
'granted' is the second definition.
('concede' can be a synonym of 'grant')
(Other definitions for conceded that I've seen before include "Admitted to be true" , "Yielded, gave in" .)