In the book version of Harry Potter and the Deathly Hallows, we see Griphook escape with the sword of Gryffindor:
Hardly aware of the pain from the burns covering his body, and still borne along on the swell of replicating treasure, Harry shoved the cup into his pocket and reached up to retrieve the sword, but Griphook was gone. Sliding from Harry's shoulders the moment he could, he had sprinted for cover amongst the surrounding goblins, brandishing the sword and crying, 'Thieves! Thieves! Help! Thieves!' He vanished into the midst of the advancing crowd, all of whom were holding daggers and who accepted him without question.
Harry Potter and the Deathly Hallows - p.436 - Bloomsbury - Chapter 26, Gringotts
Whereas in the film version, he is later shown among the dead at Malfoy Manor, slain by Voldemort in his anger upon hearing that Hufflepuff's cup had been stolen
I can find no mention of this in the book, nor do I believe anything more is said of Griphook.
So, do we know what happened to Griphook in book canon? Did he survive? I find it hard to see why he would have borne the Sword of Gryffindor to Malfoy Manor as he does in the film.