The wild "roan" horse that Ben Jones (Glenn Ford) continually tries to break throughout the film is played by two different colored animals, one for tame scenes and one for bucking scenes.
When Bull arrives and is asked for a drink, his hat is down over his eyes. When he accepts the offer in the next edit, the hat is straight on his head.
The bucking horses all have bucking straps attached. One wouldn't attach such a strap to a horse you're trying to train for riding.