Add the peach, honey, onion, garlic, cider vinegar, and lime juice to a saucepan over medium low heat. Bring to a low simmer and cook until everything softens and melts together almost like a jam. Taste and adjust any of the ingredients as needed. Season with salt and pepper to taste. (Add a tablespoon of water as needed to add moisture during the cooking process). Then remove from the heat and set aside. Chutney will set as it cools.
Spray the chicken on both sides with nonstick spray and season both sides with seasoning rub.
Preheat a grill or grill pan on medium heat. Once hot, cook the chicken to an internal temperature of 160 degrees using a thermometer while nicely charring both sides. Set aside to rest for 3 to 5 minutes. Then portion.
Spoon the peach chutney over the chicken. Garnish with cilantro. Serve with bread.