Set up the grill for two-zone cooking at 385 to 400°F.
Trim excess skin from the thighs, pat dry, coat lightly with olive oil, and season on all sides.
Place the thighs skin side down over direct heat for about 3 minutes, until the skin is charred and beginning to crisp.
Flip the thighs and move them to indirect heat, or a warming rack on the grill. Close the lid and cook until the internal temperature reaches 180° F, about 25 to 35 minutes.
Brush the thighs generously with hot honey sauce. Close the lid and cook three more minutes, until the glaze sets and the chicken reaches 185° F internal.
Serve over optional creamy polenta, topped with optional pickled red onions and chopped parsley, with extra sauce on the side.