Combine first 9 ingredients in a small bowl; stir with a whisk. Reserve 2 tablespoons oil mixture.
Place remaining oil mixture in a large zip-top plastic bag.
Add chicken breast halves; seal and marinate in refrigerator for 1 hour, turning occasionally.
Remove chicken from bag, and discard marinade.
Heat a large nonstick grill pan over medium-high heat. Coat pan with cooking spray.
Add chicken to pan; grill 12 minutes or until chicken is done, turning once.
Let stand 5 minutes before thinly slicing. Divide chicken evenly among lettuce leaves; top each lettuce leaf with 2 tablespoons mint, 1 tablespoon sprouts, and about 1 teaspoon reserved oil mixture.