First, it appears that there is evidence of looting and burning by South Ossetian militias. It’s unclear how much of this is ethnic violence, and how much is simple opportunism.
The Russians are not doing a whole bunch about this right now, they are busy destroying the Georgian security infrastructure under their control, but it does appear that they have arrested some militia men.
This does parallel what happened in Kosovo following the expulsion of the Serbian army, though with the Russians in control, it’s likely to get worse than it was in Kosovo with NATO troops who were somewhat less tolerant of the activities of the KLA post liberation.
Meanwhile, Serbia is lobbying the UN to refer the matter of Serbian independence to the International Court of Justice, which is awkward for the US, who has to argue that Kosovo can and should be independent, but that South Ossetia and Abkhazia should not be.