Coins brought round at one for game (8)
I believe the answer is:
patience
'for game' is the definition.
(patience is a kind of game)
'coins brought round at one' is the wordplay.
'coins' becomes 'pence' (penny is a kind of coin).
'brought round' indicates putting letters inside.
'one' becomes 'i' (Roman numeral).
'at'+'i'='ati'
'pence' placed around 'ati' is 'PATIENCE'.
(Other definitions for patience that I've seen before include "likely to be lost by the hot-tempered" , "Card game for one player" , "Calm endurance as in card game for one" , "Gilbertian dairymaid" , "bird, some might say" .)