Green’s Dictionary of Slang

cold-eye n.

also icy eye

a disdainful stare.

[US]Ade Artie (1963) 91: The old man give her the cold eye.
[US]St Paul Globe (MN) 31 Aug. 24/4: Maybe she won’t give th’ cold eye to th’ wife.
[US]A.H. Lewis Boss 199: I’ll let him in, an’, givin’ him th’ icy eye, I’ll ask: ‘What’s th’ row?’.
[US]Chariton Courier (Keytesville, Mo) 1 Sept. 2/4: They would probably [...] laugh at you, or give you a ‘cold eye of scorn’.
[UK]Kent & Sussex Courier 31 Jan. 4/2: Everybody in the town seemed to have conspired to give ‘the cold eye and the frozen hand’.