Run out below stand, initially, for a game (8)
I believe the answer is:
rounders
'a game' is the definition.
(rounders is a kind of game)
'run out below stand initially' is the wordplay.
'run out' becomes 'ro' (cricket abbreviation).
'below' becomes 'under' ('under' can be a synonym of 'below'**).
'initially' says to take the initial letters.
The initial letter of 'stand' is 's'.
'ro'+'under'+'s'='ROUNDERS'
'for' is the link.
(Other definitions for rounders that I've seen before include "Game played with bat and ball" , "Game like baseball" , "Local form of American baseball" , "Bat-and-ball game" , "Game resembling baseball" .)