Game, by Jiminy! (7)
I believe the answer is:
cricket
This clue is a double definition.
'game' is the first definition.
(cricket is a kind of game)
'jiminy' is the second definition.
(Pinocchio character Jiminy Cricket)
'by' acts as a link.
(Other definitions for cricket that I've seen before include "Summer sport" , "Jumping insect" , "little creature" , "Ball game" , "Game - "basically baseball on Valium" (Robin Williams)" .)