In a small bowl, whisk together the balsamic vinegar, olive oil, minced garlic, honey, salt, and pepper to create the marinade for the chicken.
Place the chicken breasts in a shallow dish or resealable plastic bag, and pour the marinade over them. Ensure the chicken is well coated. Marinate in the refrigerator for at least 30 minutes, or up to 2 hours for maximum flavor.
Preheat your grill to medium-high heat. Remove the chicken from the marinade and discard any excess marinade.
Grill the chicken breasts for about 6-8 minutes per side, or until they are cooked through and have grill marks. Baste the chicken with any remaining marinade during grilling for extra flavor.
Once the chicken is cooked, remove it from the grill and let it rest for a few minutes before slicing it thinly.
While the chicken is resting, prepare the salad. In a large bowl, toss together the mixed salad greens, halved cherry tomatoes, sliced cucumber, thinly sliced red onion, Kalamata olives, and crumbled feta cheese.
Arrange the sliced grilled balsamic glazed chicken on top of the salad.
8. Serve the Mediterranean Grilled Balsamic Glazed Chicken Salad immediately, and enjoy the delicious combination of savory grilled chicken with crisp, refreshing salad greens.