Put up more amenable champion for second game (7)
I believe the answer is:
rematch
'second game' is the definition.
(I've seen this before)
'put up more amenable champion' is the wordplay.
'put up' says the letters should be written in reverse.
'more amenable' becomes 'tamer' (tame can mean amenable to training).
'champion' becomes 'ch' (I've seen this in other clues).
'tamer' written backwards gives 'remat'.
'remat'+'ch'='REMATCH'
'for' is the link.
(Other definitions for rematch that I've seen before include "Return game" , "Further engagement of the same contestants" , "Teams' second game" , "new bout" , "Return fixture" .)