Green’s Dictionary of Slang

civil rig n.

[SE civil + rig n.2 (1)]

(UK Und.) any means of gaining money through (excessive) politeness.

[UK]W.T. Moncrieff Tom and Jerry II vi: We haven’t had a better job a long vile nor the shabby genteel lay. That, and the civil rig, told in a pretty penny.
[UK]G. Kent Modern Flash Dict. 9: Civil rig – a trick of the beggars to obtain by over civility.
[UK]Flash Dict. in Sinks of London Laid Open [as cit. 1835].