1. Stir together all spices. Season chicken with half of the seasoning mixture and set the rest aside.
2. Heat oil in a large skillet over medium heat. Cook chicken until browned, 4-5 minutes on each side. Remove from pan temporarily.
3. Stir in rice, remaining seasonings, chicken broth, and lime juice. Return chicken to pan on top of the rice. Cover and cook for 20-25 minutes, until chicken and rice are fully cooked. Add water if needed to keep pan from going dry while rice cooks.
4. Serve hot, topped with cilantro and extra lime juice to taste.