Green’s Dictionary of Slang

rivets n.

money.

1835		G. Kent Modern Flash Dict. 28: Rivits – money.
1848		Flash Dict. in Sinks of London Laid Open [as cit. 1835].
c.1850		Duncombe New and Improved Flash Dict. n.p.: Iron-rivets money.
1937		J. Curtis You’re in the Racket, Too 190: You got a bit of rivets to speculate?

In phrases

put the rivets on (v.)

(US) to marry a couple.

1913

H. Green ‘Disillusions of Flossie’ in McClures June n.p.: Mignon an’ him drove [...] to Hoboken, an’ had the rivets put on by a justice — which those highball marriages never was successful yet.