You could also make this recipe in your oven - instead of preheating the grill, turn on your oven's broiler.
Line a large baking sheet with aluminum foil and cook chicken for 5 minutes. Turn chicken over and continue cooking for 5 more minutes. Take chicken out of oven, brush on 1/2 of the glaze, and return to oven for 3 more minutes. Remove from oven, turn chicken one last time, and brush on remaining glaze. Let cook for 3-4 more minutes, then serve.