Meaning: The people who support the team made a lot of noise and hit their hands together to show their approval and encouragement.
Choice of Words: "Fans" are people who support a team or person, "cheered" means to shout or make a noise to show approval or encouragement, "loudly" means with a lot of noise, "clapped" means to make a sharp sound by hitting one's hands together, and "hands" are the parts of the body at the end of the arms.