Marinade: In a large bowl, whisk together the olive oil, apple cider vinegar, honey, soy sauce, Dijon mustard, minced garlic, smoked paprika, black pepper, and salt. Add the chicken breasts and coat them thoroughly. Cover and refrigerate for at least 2 hours, preferably overnight.
Grilling: Preheat your pellet grill to 375°F using apple or cherry wood pellets. Remove the chicken from the marinade and let any excess drip off.
Cooking: Place the chicken breasts on the grill, skin side up. Grill for 30-40 minutes, flipping halfway through, until the internal temperature reaches 165°F.
Resting: Remove the chicken from the grill and let it rest for 5-10 minutes.
Serving: Serve the BBQ chicken with grilled vegetables or a fresh salad.
