Thankfully, I have not had quite as bad trouble.
However, when I was first diagnosed, I had some gingivitis which is very unusual for me. When I told the dentist about the diabetes he said this was likely to explain it - when we have high BG, our body tries hard to get rid of the excess glucose by any means necessary. The most well known means is through our wee. I also read about problems with eye sight with high BG due to the glucose in our tears changing the focal length. And, as you've probably guessed, it also comes out in our saliva which leads to tooth decay.
It was the tears that intrigued me most: when I was first diagnosed, I had a few teary moments. They didn't last log because the tears would drip down to my lip and as I licked it off, I realised my tears were sweet which I found incredibly.