Heat oven to 450º F. In a small bowl, whisk together the lemon juice, broth, and honey. Rub the chicken pieces on all sides with the oil and salt.
Place the chicken, skin-side down, in a roasting pan just large enough to make a single, snug layer. Pour the seasoned broth over the chicken and tuck the thyme among the pieces. Roast for 20 minutes.
Turn the chicken skin-side up, add the olives, and cook for 20 minutes longer.