My first is a kind of cattle from Asia (more than one).
My second is what a horse did to its victory if it just won a race on its own merit.
My third is found together with a groom.
My fourth is the kind of praise a jockey gets if they just won a race by cheating.
My fifth is a horse, or any animal that can be ridden.
(Inspired by Prem's Four-words (----||||).)