Clapping for someone can have two uses and explanations: (* usually the first use is more)

Give it to sb. Warm applause.

[for example. ]

The audience applauded warmly for the wonderful performance of the piano. The audience applauded the pianist's wonderful performance.

Let's all give her warm applause. Let's all give her warm applause.

Be someone. A big favor.

[for example. He really helped me a lot in this transaction.

He really helped me a lot in this transaction.

◎ In addition: for sb. Let go-let someone move freely (discretion).