Can You Chew Gum with Invisalign?

No, you definite cannot chew gum with invisalign.It is better not to chew gum at all.

Why? Because the pressure of chewing gum can dislodge the existing fillings or fixed prosthetics that you have in the mouth.It can reduce the salivary flow which is detrimental for the good oral function.

The cause of most less-than-ideal Invisalign results is not wearing the aligners full time.  So taking them out to chew gum is not a good idea because it gets you in the habit of taking them off.  Chewing gum with the aligners in place is not advised because the gum may stick to the aligners. 

I would not recommend chewing gum while wearing aligners. The gum could potentially stick to the aligners. Ideally you should not eat with aligners in your mouth and drinking should be limited to water when you are wearing them.