1. Whisk together 1/4 cup oil, 2 tablespoons lemon juice, and 1 tablespoon garlic. Pour over chicken, and refrigerate 2 hours.
2. Preheat grill to medium-high heat or set up grill for indirect heat. Remove chicken from marinade, and grill chicken, turning often, until internal temperature reaches 165 degrees, 15 to 20 minutes for drumsticks and 20 to 25 minutes for breasts. Let cool, and refrigerate until ready to serve. Just before serving, cut chicken breasts into thick slices.