1. to write in a book.
(a) [mid-19C] to take a private bet, which is written down in one’s betting book.
(b) [mid-19C+] to wager outside a sporting context.
(c) [late 19C] to pay out bets.
(d) [late 19C+] to work as a bookmaker; to take bets; thus booking n.
(e) [mid-19C+] to arrest, to write down in a police charge book.
2. to look at a book.
(a) [19C+] to look at, to examine.
(b) [1960s+] (US campus, also book ass, book it, book tits, book up) to study assiduously; thus booking n., studying.
see under joint n.
SE in slang uses