- For the marinade, whisk together soy sauce, lime juice, honey, olive oil, chives, garlic, and chili powder in a small bowl until honey is thoroughly mixed in. Reserve half a cup of marinade.
- Pour remaining marinade over drumsticks in a shallow dish. Cover, refrigerate and marinate for 2-4 hours.
- For the glaze, whisk together cornstarch and water. Pour into a saucepan and whisk in reserved marinade. Heat over medium-low heat until simmering. Reduce heat and simmer for 3-4 minutes. Transfer to a small bowl and cool at room temperature while chicken marinates.
- Heat outdoor grill to 400°F. Remove chicken drumsticks from marinade and place on hot grill. (Discard marinade.) Grill drumsticks for 16-20 minutes, turning every 5 minutes. Brush drumsticks with a few tablespoons of glaze during the last 5 minutes of cooking. Serve hot drizzle with remaining glaze.