At the campsite how did Hawkeye call Chingachgook?

Hawkeye didn't call Chingachgook by any particular name in the *The Last of the Mohicans* novel.

* "Chingachgook" is Chingachgook's name, meaning "Big Serpent." It's the name he is known by and the name he identifies with.

* "Hawkeye" is the nickname of Natty Bumppo, the protagonist of the novel, and he is respectful of Chingachgook's identity and culture.

So, Hawkeye wouldn't have called Chingachgook anything other than his name, using a respectful tone and address.