I just replied to a comment further down the thread. The taste buds in your mouth don't play a role in insulin resistance. There are separate taste buds embedded in the wall of your gut that are responsible.

I'd still recommend chewing gum, but you'd have to weigh the evidence for yourself, cause I'm not a doctor. However I believe the oral health benefits outweigh the potential risks. Acid reflux is also correlated with a lot of really nasty health issues, like esophageal cancer and heart disease. (It's my understanding that the heart disease link may be due to the elevated calcium levels caused by consuming large quantities of antacids) If chewing gum helps control your acid reflux I'd keep chewing gum. I'm actually considering this myself now that you mention it, since I suffer from acid reflux as well.