Green’s Dictionary of Slang

chime n.

1. (US) false praise, empty flattery, esp. when aimed at tricking or defrauding its object [note 17C–18C chime, a mere empty ‘jingle’ of words].

[US](con. 19C) C. Major Juba to Jive.

2. (US black) one hour.

[US]Cab Calloway New Hepsters Dict. in Calloway (1976) 253: chime (n.): hour. Ex., ‘I got in at six chimes’.
[US] ‘Jiver’s Bible’ in D. Burley Orig. Hbk of Harlem Jive.
[US]Mezzrow & Wolfe Really the Blues 164: We could at least [...] forget our misery for a couple of chimes.
[US]Wentworth & Flexner DAS.