What was the clan of the cavemen?

Answer 1

Are you thinking of Clan of the Cave Bear? That was the first novel in a great series of novels by Jean Auel. It is loosely historical fiction based on what we know of prehistoric times, and she speculates about the possible connections between human and Neanderthal groups.

Answer 2

The clan of the cavemen is generally referred to as a tribe or a group. They would have lived together in small communities and worked together to survive in their environment. The specific names of these clans would not be known as they existed in prehistoric times.