Combine the first 5 ingredients (through zest) in a medium saucepan; stir well. Bring the mixture to a boil over medium heat, and cook 5 minutes. Reduce the heat to medium-low; add the cherries, and cook 10 minutes, stirring occasionally.
In a small bowl, combine the cornstarch and water; stir well, and add to the cherry mixture. Bring to a boil over medium heat, and cook 1 minute or until slightly thickened, stirring constantly. Pour the cherry sauce into a bowl; set aside, and keep warm.
PREPARE THE CHICKEN:
Pre-heat your grill. Sprinkle the chicken with salt and pepper. In a small bowl, combine the honey and lemon juice; stir well. Lightly brush the chicken with half of the honey mixture; grill on a grill rack sprayed with cooking spray for 3 to 5 minutes. Turn the chicken over; brush with the remaining honey mixture. Grill 3 to 5 minutes or until the chicken is done.