[Raak] Horse is a strange one... I dog you, you dog her, we dogged them, but do you ever say 'I horse, you horse'? It's usually linked to 'around'. I have no idea what this does to the classification of the nounage/verbage discussion. I'm almost out of my depth!
The only other usage than "horsing around" I can find on a (SafeSearch) Google, is the expression "to horse a gentlewoman", which I assume is an historical expression meaning the general assistance of a lady in enabling her to ride out. Then again, maybe I'm being naïve and it has a more Catherine the Great connotation.