Gather the ingredients.
Sprinkle the chicken with salt and pepper.
Heat the olive oil in a large skillet over medium heat and brown the chicken, skin-side down, just until the skin is browned and lightly crispy. Set aside.
In a 4- to 5-quart slow cooker , add the potatoes, carrots, onion, and garlic to the inner pot. Top with the browned chicken.
Pour the chicken broth over top. Cover the crock pot and cook on low for 8 to 9 hours until chicken is thoroughly cooked to 165 F and the vegetables are tender.
In a small bowl, stir together the light sour cream, mustard, honey, flour, and thyme until well blended.
Stir the sour cream mixture into the sauce in the crock pot and turn the heat to high. Cook for 15 to 20 minutes, stirring occasionally until the sauce is thickened.
