Actually numerous governtment studies have been conduct regarding chewing gum and accidentlly swallowing dbol at the same time. The current admistration is investing 2.2 billion to see what results will happen taking it with orbits gum.Current gums contain a natural rubber (e.g., polyethylene and polyvinyl acetate.
Neither natural nor synthetic latex are readily degraded by the digestive system. However, if you swallow your gum it will almost certainly be excreted, usually in pretty much the same condition as when you swallowed it. However, frequent gum swallowing may contribute to the formation of a bezoar or enterolith, which is a sort of intestinal stone.
Sorry, I was having fun with this, those two combined together should not be an issue