Figs are safe for dogs to eat according to Can Dogs Eat This. However, it is recommended that dogs eat only a small amount of figs at one time because they can cause upset stomach.
Feeding figs to a dog is an ideal way to add potassium and fiber to its diet. However, About Doggies suggests limiting fig intake to once or twice a week to avoid causing adverse effects such as diarrhea in dogs. While most dogs are just fine eating figs, they may cause an allergic reaction in certain dogs. Itching eyes, wheezing, coughing and mouth rash are all signs of an allergic reaction to figs.