Green’s Dictionary of Slang

chaney-eyed adj.

[? chaney = China, as in china-ware or porcelain; china being the original material used for ‘glass’ eyes]

1. (also chiney-eye) small-eyed; thus like a china doll.

[UK]Farmer & Henley Sl. and Its Analogues.
[US]Wichita Dly Eagle 16 Feb. 9/2: He [...] outstripped the celebrated chaney-eyed gamecocks of Southern Georgia.
[US]N. Algren Never Come Morning (1988) 200: Chiney-Eye Helen [...] painted her eyes to resemble those of Myrna Loy.

2. one-eyed; rarely, glassy-eyed.

[UK]Farmer & Henley Sl. and Its Analogues.