Green’s Dictionary of Slang

goo-goo watch n.

[ety. unknown; ? SE cuckoo]

(US black) dawn and the period just preceding it.

1941		D. Burley N.Y. Amsterdam Star-News 20 Sept. 15: The chicks out rambling on the goo-goo watch.
1944		‘Jiver’s Bible’ in D. Burley Orig. Hbk of Harlem Jive.