Green’s Dictionary of Slang

(US campus) to leave, to go fast.

1963		‘Jay Solo’ ‘A Girl Named Poison’ in Pulling a Train’ (2012) [ebook] The one downstairs is gone; and if they [i.e. the police] don’t hurry, Andy’ll book, too.
1976		Eble Campus Sl. Nov. 1: book – to leave [...] to move quickly.
1978		J. Webb Fields of Fire (1980) 216: Bagger, you book on out o’ here, man. I gotta rap with a brother, hear?
1989		P. Munro Sl. U. 43: I’m already fifteen minutes late for class, I’d better book!
1992		UGK ‘Something Good’ 🎵 You bookin from the scene cause ya couldn’t hold ya own.
1998		(con. 1986) G. Pelecanos Sweet Forever 38: ‘Funny, him taking off like that.’ ‘I know. I wonder why he booked.’.
1998		Eble Campus Sl. Nov. 1: book it – move in a hurry.
2003		Simon & Burns ‘Port in a Storm’ Wire ser. 2 ep. 12 [TV script] Mozone booked out. We worse off than when he came.
2005		G. Pelecanos Drama City 150: Now it was an avenue of escape for those who wanted to book out on foot.
2019		C.D. Rosales Word Is Bone [ebook] So Junie knew he was bound to get his ass beat, and [...] just booked it.
2021		T. Swerdlow Straight Dope [ebook] That’s me calling after him, but he’s booking hard.