Green’s Dictionary of Slang

chimer n.

[17C SE chimer, one who rings bells]
(US black)

1. a clock or watch.

[US]D. Burley N.Y. Amsterdam News 15 Feb. 1: The Apple’s twirling, Jack, a deuce of boxcars around the chimer.
implied in let someone down for their chimer

2. the heart, which also ‘ticks’.

[US]C. Major Juba to Jive.

In phrases

let someone down for their chimer (v.)

(US black) to steal a watch.

[US]D. Burley Orig. Hbk of Harlem Jive 117: She latched onto a Lane from Fort Wayne, and let him down for his chimer.