Comment critically, notice given after a game (10)
I believe the answer is:
animadvert
'comment critically' is the definition.
(I've seen this before)
'notice given after a game' is the wordplay.
'notice' becomes 'advert' (notice can mean an advertisement).
'given after' is a charade indicator (letters next to each other).
'game' becomes 'nim' (mathematical game).
'a'+'nim'='anim'
'advert' put after 'anim' is 'ANIMADVERT'.
(Other definitions for animadvert that I've seen before include "Criticise" , "comment critically" , "Criticize" , "Censure" .)