Grate the fresh garlic into a large bowl, then add the honey, tamarind, lime juice, fish sauce, soy sauce and salt. Give it a good whisk.Add the chicken breasts to the bowl and toss to coat very well. Cover with plastic and place in the refrigerator to marinate for at least 4 hours, though overnight is best. Turn grill on to medium high heat and allow a few minutes to fully preheat, then oil the grates to prevent the chicken from sticking.Grill the chicken on both sides until the internal temperature reaches 165 degrees. Let it rest then slice it thin.
Make the Lettuce Wraps
Assemble the lettuce wraps by piling and sliced chicken into the lettuce then drizzle with sweet chili or peanut sauce. Or if you prefer to enjoy as a salad, pile the chicken and veggies into a bowl and drizzle with the sauces.