Exclusive: WHO's cancer research agency to say aspartame sweetener a possible carcinogen - sources

Pickes are on the list too I think.

Other possible carcinogens include rubbing lead all over your body and licking 50 year old paint.

Of course, the actual magnitude of effect is so monstrously different that it'd almost seem dishonest for someone to claim this in a vacuum, especially in the face of the several decades of research, several thousand studies, several hundred animal tests, all of which have found no actual proposed chemical route of cancer generation from aspartame.

xkcd Signifiacnt

Full Xylitol ones should not need other sweeteners. Availability probably depends on where you are.

For example, an adult weighing 60 kg (132 pounds) would have to drink between 12 and 36 cans of diet soda – depending on the amount of aspartame in the beverage – every day to be at risk.

I'm going to go out on a limb here and say that gum probably contains far less aspartame that soda, so I doubt it's any cause for concern and probably much better than gum that contains sugar