Dog's having clean mouths is a myth.FWIW - dogs' mouths are not as clean as sometimes said
A couple months ago I was playing with my Husky and I hit the crevis between my ring finger nail and the skin on one of his teeth. It hurt bad enough to stop playing. The sharp pain went away within a day or two, but then I started having a pressure feeling and half of my finger started swelling up, throbbing, and turning purple. Shortly after I noticed underneath the skin where the tooth punctured looked green. At this point I was wondering if a surgeon was going to have to cut my finger tip off So I grabbed a sharp pin, sterilized it, and punctured the area. I applied pressure to see if I could get anything out and all this nasty greenish puss came out. I poured rubbing alcohol on it and opened it up a bit more to release all the gnarley funk I could. Poured alcohol on it again and put a bandaid on it(I think). A day or so later the swelling went down, the throbbing went away, and now i'm left with a normal looking finger WHEW!