Whisk together all of the marinade/dressing ingredients in a small glass bowl. Pour out half of the marinade (untouched by raw meat) into a jar with a lid and refrigerate to use as the dressing later.
Add the chicken to the marinade in the bowl; marinade chicken for 30 minutes, up to 6 hours. Meanwhile, prepare all of the salad ingredients nicely as shown on a large plate/platter.
Once the chicken is ready, discard marinade used for chicken. Heat 1 Tbsp of oil in a grill pan over medium-high heat.
Grill chicken on both sides until browned and completely cooked through, about 4 minutes per side.
Allow chicken to rest for 6 minutes; slice and arrange over salad.
Drizzle salad with the dressing that was stored away separately in the fridge. I use about 1-2 Tablespoons per serving.
Serve with fresh lemon wedges.