One’s constituents beaten over race amidst scuffle (8)
I believe the answer is:
omelette
'one's constituents beaten' is the definition.
(an omelette consists of beaten eggs)
'over race amidst scuffle' is the wordplay.
'over' becomes 'o' (cricket abbreviation).
'race' becomes 'tt'.
'amidst' means one lot of letters goes inside another.
'scuffle' becomes 'melee' (I've seen this before).
'tt' inserted within 'melee' is 'melette'.
'o'+'melette'='OMELETTE'
(Other definitions for omelette that I've seen before include "Dish made of eggs and filling" , "One getting beaten" , "Food dish (that can't be made without breaking eggs)" , "Smashed eggs" , "You can't make one without breaking eggs" .)