From Longman Dictionary of Contemporary Englishcheer somebody ↔ on phrasal verbCONFIDENTto shout encouragement at a person or team to help them do well in a race or competition They gathered round the swimming pool and cheered her on. → cheer→ See Verb table
Examples from the Corpus
cheer on• Pay attention to your fellow workers' accomplishments. Cheer them on.• We didn't half cheer him on.• Knots of spectators were there to cheer me on aggressively, and by 10 miles I had caught Peter.• The crowd is cheering us on and it certainly flows down to the field.• The whole restaurant cheered me on as I fought my way out into the night.• They serenaded the rape victim inside, cheering a brother on as if it were a football game.• There they would line Hollins Hill as the walkers toiled up and cheer them on their way.• At their side, cheering them on, was the new journalistic team of Joseph and Stewart Alsop.