Green’s Dictionary of Slang

dodge v.

[SE dodge, to act in a dubious, untrustworthy manner]

1. to follow someone surreptitiously.

[UK]Grose Classical Dict. of the Vulgar Tongue n.p.: To dog, or dodge, to follow at a distance.
[UK]Lex. Balatronicum.
[UK]Egan Grose’s Classical Dict. of the Vulgar Tongue.
[UK]Dickens Oliver Twist (1966) 404: I was a regular cunning sneak when I was at school. What am I to dodge her for?
[Ire]Wexford Indep. 12 Jan. 3/4: The ould one’s always dodgin’ me [...] And she comes it wid a smack to crack the dhudheen in me jaw.
[UK]Boy’s Own Paper 29 Dec. 195: Major and I [...] dodging along at a safe distance behind.

2. (UK Und.) to perform an action.

[UK]Swell’s Night Guide 60: Ratherish, my rum’un, ax the flyer else, how I blued the tin what I copped from a swell at Common Garden thother night. I’ll tell you how I dodged it.

3. (Aus.) to leave.

[Aus]Hamilton Spectator (Vic.) 7 Jan. 1/7: A young gentleman gets into ‘little difficulties,’ [...] He fears he will have to ‘absquatulate,’ ‘ missle,’ ‘ slope,’ ‘ cut’ ‘ dodge,’ ‘make tracks,’ ‘make himself scarce,’ unless the governor ‘shells out’.
[UK]S. Bythell Diary of a Bookseller 72: She dodged off for lunch.

In phrases

dodge out (v.)

(US) to run away.

[US]‘Paul Merchant’ ‘Sex Gang’ in Pulling a Train’ (2012) [ebook] He cursed himself for having dodged out. He knew he should have stayed close and dug the scene with the chicks in the car.
dodge pompey (v.) [naut. jargon dodge pompey, to skulk around, to avoid work by the use of any semi-legitimate excuse]

(Aus.) to steal grass, rather than to grow and harvest one’s own crop.

[Aus]Billis & Kenyon Pastures New iii 46: Browne detailed the laws passed, not to encourage the overlander, but rather to counteract his habit of stealing grass — ‘dodging Pompey’, as it was known [OED].