Country sport on game shows (5)
I believe the answer is:
tonga
'country' is the definition.
(I know that Tonga is a country)
'sport on game shows' is the wordplay.
'shows' indicates the answer is hidden within the clue.
'TONGA' is hidden within 'sport on game'.
(Other definitions for tonga that I've seen before include "S.W Pacific Kingdom" , "Pacific island state" , "Two-wheeled Indian vehicle" , "Pacific Ocean monarchy" , "Islands once ruled by Queen Salote" .)