Green’s Dictionary of Slang

boss-eye n.

[boss v. (3) + SE eye]

a squinting or injured eye, or a person who has one.

[UK]Sam Sly 13 Jan. 2/2: Why, you had much better pay your debts and look after your beautiful boss-eye.
[UK]J. Greenwood Little Ragamuffin 213: She [...] was called [...] by an appellation suggested by her visual deprivation, ‘Boss-eye.’.
[US]Harry Hunter ‘Put me some Jam Roll by, Jenny’ [ballad] Come where the waves roll high, Jenny, / Come with your old boss-eye.
[UK]W.S. Maugham Liza of Lambeth (1966) 45: ‘Puddin’ fice!’ she cried. ‘Kite fice!’ ‘Boss eye!’.
[UK]Breton & Bevir Adventures of Mrs. May 22: ’Awkins ’ad a boss eye.
[UK]Barltrop & Wolveridge Muvver Tongue 91: Bad eyesight and deafness are mildly ridiculed: ‘boss-eye’, ‘cock-eyed’.