Trident gum wrappers are safe to consume. In the United States, the Food and Drug Administration ensures that all food contact substances, like gum wrappers, are safe. Gum wrappers are made of non-toxic materials that are not harmful if consumed in small amounts.
Although most people are unlikely to have any serious problems after consuming a Trident gum wrapper, they are clearly not made for human consumption. Eating products that are not made specifically for human consumption is never recommended. However, in the case of Trident gum wrappers, there is not a clear health risk. Other products, such as the stickers found on fruit, are made out of edible paper that is considered food-grade by the FDA.