I actually had an attending in my 3rd year derm rotation tell some of his patiens not to use fluoride-containing toothpaste. He explained the ion itself induces some over-activity in sebum production and an inflammatory response. It was most prominent at the corners of the mouth, supposedly worse on the side they favored sleeping on, as that is where drool would pool out, carrying out the fluoride.
He was rather "old-school", but I did find a journal article from the 60s that backed it up.