wedding ring"jacket

I honestly thought I had the name of what you were looking for JUUUST on the tip on my brain... but I think I was imagining something I've seen before in reverse, which is the engagement ring /wedding ring "jacket" , also referred to an insert, ring guard or ring wrap. (some examples.). So, they're kind of like the bridal sets mentioned earlier, in that the engagement ring and band will fit together. Except, here the difference is that the solitare ring fits inside a bracket or half of sorts, and that could fit more neatly against your band.