Green’s Dictionary of Slang

rabbit v.1

[note dod rabbit it! under dod n.1 ]

a euph. for damn v., esp. as an oath (e.g. rabbit it!).

[UK]Fielding Joseph Andrews (1954) III 259: Rabbit the fellow!
[UK]Smollett Roderick Random (1979) 96: Rabbit it! I have forgot the degree.
[UK]O. Goldsmith She Stoops to Conquer Act V: Rabbit me, but I’d rather ride forty miles after a fox than ten with such varment.
[UK]G. Colman Yngr Heir at Law I ii: Rabbit it! I be ready to choke for joy!
G. Colman Yngr Who Wants a Guinea? I i: These are nice pipes, rabbit me if they an’t!
[Scot](con. early 17C) W. Scott Fortunes of Nigel II 285: Rabbit me, I am a soldier, and care no more for a lord than a lamplighter!
[Ind]P.C. Wren Dew & Mildew 234: ‘Stap my Vitals! You can also Rabbit Me while you are about it’.