Thyroid and peeling lips come up routinely online with only small amounts of research. What causes your thyroid issues though? It's worth finding out I think.
I noticed a change in the lip peeling very quickly BUT I know my own body well enough to know that this may not be the only factor, or it may only be an irritant. I still have plenty of other skin issues that have not resolved from diet.
I think everyone here should get tested for lyme disease if they can, and this is something I'm hoping to have in the next few weeks. Unfortunately the tests they have at the moment are not that accurate. There appears to be a lot of controversy about lyme and modern doctors seem to be in denial about it. It's definitely one to get checked out if you can afford it.