Green’s Dictionary of Slang

shab v.

[shab n.]

to cheat, to deceive, to act in an underhand manner.

[UK]Johnson Dict. Eng. Lang. (1785) n.p.: To Shab v.n., to play mean tricks; a low barbarous cant word.

In phrases

shab off (v.)

1. to cheat someone, then to dismiss them without apology or explanation.

[UK]Farquhar Love and a Bottle IV iii: I have shabb’d him off purely.
[US]W. Otter Hist. of My Own Times (1995) 114: [He] told me to take him to my house and keep him till the next morning; thinking no doubt to shab me off in that way.

2. (also shab out) to sneak away.

[UK]B.E. Dict. Canting Crew n.p.: Shab’d-off sneakt, or slid away.
[UK]New Canting Dict. [as cit. c.1698].
[UK]Bailey Universal Etym. Eng. Dict. [as cit. c.1698].
[US]R.W. Brown ‘Word-List From Western Indiana’ in DN III:viii 589: shab out, v. To sneak away; to clear out. ‘After he saw they were in trouble, he shabbed out.’.
[UK]Western Times 10 Jan. 4/5: ‘Shab off, you men-volk; us can manage very nice without ’ee’.