Green’s Dictionary of Slang

1. married.

1700		Congreve Way of the World I i: There’s such coupling at Pancras [...] the parson growing hoarse, we were afraid his lungs would have failed before it came to our turn; so we drove round to Duke’s-place, and there they were riveted in a trice.
1938		W. Winchell On Broadway 12 Apr. [synd. col.] D.A. Doran, the producer, and Marion Avery, are wiring pals that they were riveted in North Carolina.
1938		Afro-American (Baltimore, MD) 6 Aug. 18/2: Snowden and Parnell were secretly riveted several months ago to Helen and Etta.

2. (UK society) fascinated by; thus riveting, absolutely fascinating.

1980		Observer 13 July n.p.: The truth is she is riveted by butterflies.
1982		Barr & York Sloane Ranger Hbk 159: Riveting adj. So interesting you sat still and shut up for a few minutes. ‘I was riveted to hear about Julian’s divorce.’.