Chewing gum on an empty stomach is not a good idea as it tricks your body into believing that you are actually eating something. When you chew gum, your gastric juice levels increase. That way the best-case scenario, you will become hungry very quickly, and in the worst-case scenario, you might experience problems with your digestion.
So no, chewing gum won't break your fast, but it will make you hungry, and that’s why we recommend you try to break the gum habit.
Overall while fasting, you should try not to eat anything. You can drink pure black coffee and herbal tea.