All right to enter for each game (5)
I believe the answer is:
poker
'game' is the definition.
(I know that poker is a card game)
'all right to enter for each' is the wordplay.
'all right' becomes 'ok' (synonyms).
'to enter' is an insertion indicator.
'for each' becomes 'per' (per person).
'ok' placed into 'per' is 'POKER'.
(Other definitions for poker that I've seen before include "Fire prodder; game" , "Rod liable to become heated" , "Gambling card game" , "Fire prod; game" , "Fire rod; game" .)