Place the chicken thighs and carrot pieces in the bottom of the slow cooker.
In a bowl, stir together the chicken broth, honey, soy sauce, minced garlic, and black pepper until the honey dissolves.
Pour the sauce mixture over the chicken and carrots.
Cover and cook on low for 5 hours.
Stir in the uncooked rice, making sure it sits mostly under the liquid.
Cover and cook on low for 1 more hour until the rice is tender and has absorbed most of the sauce.
Serve hot, topped with the sliced green onions.