There's also naming by profession:
Uric Smith
and by father's first name:
Uric, Son of Cog.
And Uric Cogsson
If implementing familial surnames, do you use Cogsson (or Cogdottir) from the Icelandic/scandiwegian for the Nordics, McCog/MacCog and of course O'Cog from the various C-Celtics, "ap Cog" from Welsh..? Depending on your view of the pseudoethnicity of Dwarfs, all of these might fit, so maybe you assign a single system to each civilisation... You can also extend out to the bin/ibn (also 'ben'), -vich, Fitz- and various other dimminutive suffixes from Arabic (and israeli), Russian, Francish and the likes of Ancient Greek, respectively.
I think (ICBW) that in the Indian patronimic system, the forename of the father is directly adopted as the latter name of the son, with no other element. This would avoid the need of shoehorning features of Real World familial naming suffices and prefices into the Dwarven-language nameset. Given that (prior to battle-earned extra names) the pattern of a Dwarven name is Word Wordword, perhaps the "Wordword" could be derived from "Fathermother"'s firstname words (or, indeed, "Motherfather"'s, according to relative superiority, rank, skill-level or social ability). In a formal system, it could extend to "Cog Cogcog (Cogcog-Cogcog)" or something (for a particularly unimaginative pair of bloodlines meeting and remaining consistently unimaginative) to represent greater depth of descendence. The data (at least for extant relatives and major family lines) appears to exist within the gameiverse histories, so it could be a special occasion thing, when high level diplomats and rulers meet, to greet each other by the full bloodline, or as full as they can/wish to use under the circumstances, thus not always to spend five hours before uttering the words "...I send you greetings from my Lord, ..." and then another five hours before "...on this auspicious day."
In some ways this would be quite similar to various cultures (at least at the highest levels of aristocratic seniority) here on Earth. Just a speculative idea, of course.