Green’s Dictionary of Slang

goo-goo n.³

an eye.

1914		Truth (Melbourne) 31 Jan. 6/1: Girls, girls, nothing but girls / [...] / Seeking from mankind ther gladdened goo-goo.
1919		F. Hurst ‘A Petal on the Current’ in Humoresque 87: I know a society that will pay you a big fat sum if you’ll sign over them eyes for post-mortem laboratory work [...] those are some goo-goos!