Game to go topless in Clare's town (5)
I believe the answer is:
ennis
'clare's town' is the definition.
(town in County Clare)
'game to go topless' is the wordplay.
'game' becomes 'tennis' (tennis is a kind of game).
'to go topless' means to remove the first letter.
'tennis' with its initial letter taken away is 'ENNIS'.
'in' is the link.
(Other definitions for ennis that I've seen before include "somewhere in Ireland" , "Southern Irish town" , "place of Clare" , "County town of Co Clare, Ireland" , "World champ" .)