Whisk together all of the marinade/dressing ingredients in a large jug. Pour out HALF of the marinade into a large, shallow dish. Refrigerate the remaining marinade to use as the dressing later.
Add the chicken to the marinade in the bowl; marinade chicken for 15-30 minutes (or up to two hours in the refrigerator if time allows). While waiting for the chicken, prepare all of the salad ingredients and mix in a large salad bowl.
Once chicken is ready, heat 1 tablespoon of oil in a grill pan or a grill plate over medium-high heat. Grill chicken on both sides until browned and completely cooked through.
Allow chicken to rest for 5 minutes; slice and arrange over salad. Drizzle salad with the remaining UNTOUCHED dressing. Serve with lemon wedges.