Game played with associated board, cheat and get low grade (8)
I believe the answer is:
cribbage
'game played with associated board' is the definition.
(a cribbage board keeps score in the card game)
'cheat and get low grade' is the wordplay.
'cheat' becomes 'crib' (cribbing is a kind of cheating).
'and' says to put letters next to each other.
'get' becomes 'bag'.
'low grade' becomes 'E' (E is a low academic grade).
'crib'+'bag'+'e'='CRIBBAGE'
(Other definitions for cribbage that I've seen before include "Card game scored with pegs" , "Card game with a winning score of 121" , "Card-game" , "SPORT/GAME" , "Card game for two to four players" .)