First, prepare Greek marinade by mixing together olive oil, vinegar, garlic, honey, lemon juice, mustard, oregano, and salt. Then, transfer it into a large gallon-size bag or container and then add chicken breast. Make sure chicken is fully submerged in the marinade and let sit for 30 minutes to 2 hours.
Next, preheat grill to 400ºF. Once hot, spray the grill grates with nonstick cooking spray and place the marinated chicken breast over direct heat. Then, place a lemon slice on top of each breast. Close the grill and cook for around 7 to 8 minutes.
Once you see some beautiful grill marks appear on the chicken, remove the lemon and place it on the top rack and flip the chicken breasts. Close the grill and let cook for another 7 to 8 minutes.
Once the internal temperature of the chicken breast has reached 165ºF, remove from grill and let rest for 5-10 minutes.
Meanwhile, prepare the tomato chutney. Mix together tomatoes, red onion, feta crumbles, basil, and lemon juice.
Serve chicken breast topped with tomato chutney.