Green’s Dictionary of Slang

out of sight adv.

(US)

1. utterly, thoroughly.

[US]T. Haliburton Clockmaker I 192: I told you your horse would beat me clean out of sight.
[US]Ade Fables in Sl. (1902) 4: Firmness — out of sight!
[US]O. Johnson Varmint 289: ‘Comfy?’ said Slops [...] ‘Out of sight!’.
[Aus]Bulletin (Sydney) 10 Sept. 48/1: Um – you’ve worked over it [i.e. a poem] a good deal! Let’s see now! Ye-es, you’ve improved it out of sight!
[UK]J. Sullivan ‘Watching the Girls go by’ Only Fools and Horses [TV script] Oh well that beats me out of sight Boycie.

2. extremely well.

[[UK] ‘Cupid Turned Housebreaker’ in Rambler’s Flash Songster 39: What would they say, if they could see, his picklock out of sight; / The ladies’ all, both great and small, how they turn up their eyes, / They’d never dreamt, his instrument was half the size].
[US]Ade Artie (1963) 4: She treated me out o’ sight.
[Aus]Bulletin (Sydney) 29 Sept. 24/2: Writer will have his bit on Finland if he faces the flag, as this colt has ‘come on’ out of sight during present season, and looks like continuing to thrive.
[US]P.L. Dunbar Jest Of Fate (1903) 98: There’s a fellah in the house ’at plays rag-time out o’ sight.
[US]Bukka White q. in McKee & Chisenhall Beale Black & Blue 122: My daddy was a big performer. He played guitar, mandolin, saxophone, piano; and man, could he dance—outta sight.

In phrases

put out of sight (v.)

see under put v.1