Heat a large pot over medium-high heat. Add the lamb and brown on all sides, about 5-7 minutes.
Add the onion, garlic, ginger, cumin, cinnamon, paprika, turmeric, salt, black pepper, and cayenne pepper to the pot. Cook, stirring frequently, for 3-4 minutes or until the onions are soft and the spices are fragrant.
Add the chopped apricots, prunes, chicken broth, and honey to the pot. Stir to combine.
Bring the mixture to a boil, then reduce the heat to low and cover the pot. Simmer for 1 1/2 to 2 hours, or until the lamb is tender.
In a small bowl, whisk together the cornstarch and water. Stir the mixture into the lamb tagine and cook for an additional 5-10 minutes, or until the sauce has thickened.
Serve the lamb tagine hot, garnished with chopped parsley.