Wiktionary
vb. To cheer and support a team, to barrack, to root for.
Usage examples of "cheer on".
From the arena he could see the stands heaving as the spectators stampeded to get back totheir seats and cheer on their heroine.
Toby would have liked to cheer on the rebels, outnumbered and outgunned but still refusing to be beaten, but he couldn't, not if he ever wanted the film he was risking his life to get to be shown in the Empire.
The mandatory crowds were assembled in the square, wretches chased from their begging stations and dingy homes so that they could cheer on cue.
There, as luck would have it, king and court had gathered outside to cheer on bouts of wrestling.
Da's frown deepened in a somewhat surly manner, quelling Kareen's impulse to loudly cheer on this line of reasoning.
Shef wondered again at the good cheer on every face, but not for long.