Green’s Dictionary of Slang

haim n.

also hame, haym
[ety. unknown; orig. jazz use hame, a job other than in the music business; ? ref. to collar and hames under collar n.]

(US black) a job, usu. tedious or unpleasant.

[US]Babs Gonzales ‘Manhattan Fable’ [lyrics] He copped him a hame as a delivery cat on Lenox Avenue.
Encyc. of Jazz (in Gold 1964) 346: Hame: job outside the music business.
[US]C. Cooper Jr Scene (1996) 61: A haim is a job, but junkies don’t bother with ’em.
[US]D. Claerbaut Black Jargon in White America 67: hame n. a job; vocation.
[US]G. Smitherman Black Talk 130: Haim A Job.

In phrases

cop a haim (v.)

(US black) to get a job.

[US]Babs Gonzales ‘Manhattan Fable’ [recitation] He copped him a hame as a delivery cat on Lenox Avenue.
[US]Babs Gonzales I Paid My Dues 95: His bread (money) had dwindled by this time and he knew he had to cop him a haym (job).