There is a peculiar 1:2:4 pattern to many things Dwarven related (i.e. 1 - Durin's Folk, 2 - Firebeards and Broadbeams, 4 - eastern Dwarves; 1 - Khazad-dum, 2 - Nogrod and Belegost, 4 - presumably other eastern mansions), and I'm about 60% certain that the two rings that Sauron captured before TA 2845 belonged to the leaders of the 2 westernmost clans, and that the 4 which were devoured by dragons belonged to the leaders of the 4 eastern clans.
I can't exactly prove it, but knowing Tolkien's sensibilities at least somewhat I'd say it isn't the most unreasonable assumption in the world.
EDIT: Also:
Quote:
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His words imply he knows the fate of the other six, suggesting either the Dwarves talk a lot, or several of them were held by the Longbeards.
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I just have to point out that the Longbeards aren't really a "unique clan" in and of themselves (excepting Durin) - instead, it's a collection of some members of the other 6 clans that coalesced around Khazad-dum.
With that in mind, I imagine that practically everybody belonging to Durin's Folk had kinship with all other Dwarven clans, which could also imply regular or semi-regular contact. In fact, given how uniform Khuzdul is, I'd say it's all but certain.