In a small saucepan, combine garlic, chili sauce, oil, vinegar, onion, Worcestershire, salt, pepper, and thyme. Simmer on low heat, uncovered, for 15-20 minutes. Place drumsticks in roasting pan. Pour prepared sauce over. Cover and marinate for at least two hours in refrigerator. (If the roasting pan won't fit in your fridge, simply toss turkey with sauce in non-reactive bowl or plate, and pour into roasting pan when ready to start cooking.) Turn pieces occasionally in sauce while marinating.
Grill: Spray rack with nonstick spray (don't do this while rack is over fire). Grill turkey legs approx 7 minutes per side, til browned. Turning and basting often with sauce, continue to grill about 1 hour, or until tender.
Oven: Cover drumsticks loosely in foil. Bake in 325° F oven for 1 and 1/2 hours, basting frequently. Uncover, then continue baking approx. 30 minutes, or until barbecued turkey drumsticks are browned and tender.Servings: