Green’s Dictionary of Slang

digger n.2

[dig v.1 ]

1. a diligent student.

[US]Monroe & Northup ‘College Words and Phrases’ in DN II:iii 139: digger, n. A grind.

2. (US Und.) a pickpocket.

[US]G. Milburn ‘Convicts’ Jargon‘ in AS VI:6 438: digger, n. The modern term for pick-pocket.
[US]Monteleone Criminal Sl. (rev. edn).
[US]Goldin et al. DAUL 58/1: Digger. A crude pickpocket; a dig.
[US]Wentworth & Flexner DAS.
[US]Eble Sl. and Sociability 51: Baby raper and chicken hawk mean ‘child molester’; crib burglar, ‘someone convicted of breaking and entering a domicile’; and digger, ‘pick-pocket’.

In phrases

dirty digger (n.)

(UK drugs) an intravenous drug user.

[UK]B. Hare Urban Grimshaw vii: Dirty Digger Intravenous drug user. [Ibid.] 67: A group of dirty diggers were dossing near the phone-box.