The clown is a tribute to Petruchio showing up late to his own wedding dressed in a ridiculous costume. This is another way that Petruchio tames Kat. Although he has her hand, he is not finished his works to tame her. It is clear that he not only wants her dowry, but he also wants a tamed wife. He is mocking the fact that she has agreed to marry him and embarrassing her in front of her family.