Green’s Dictionary of Slang

to lock up, e.g. in a cell or in handcuffs.

1812		Vaux Vocab. of the Flash Lang.
1830		W.T. Moncrieff Heart of London II i: Order, order, gentlemen, or I must dub you up.
1958		F. Norman Bang To Rights 12: Everybody in the nick had already been dubbed up for the night.
1962		F. Norman in Police and the Public in Norman’s London (1969) 125: They took me out the back and dubbed me up in a peter.
1979		F. Norman Too Many Crooks Spoil the Caper 105: I’m going to wind up in an unmarked grave or dubbed up in a flowery dell.
1989		J. Morton Lowspeak.