Marinate the chicken by tossing cubed chicken with olive oil, honey, apple cider vinegar, kosher salt, oregano, and pepper in a large bowl until well coated. Allow it to marinate while you preheat your grill and prepare the yogurt sauce.
Clean and oil your grill grates thoroughly before preheating it to 350 degrees Fahrenheit (medium heat).
In a separate bowl, combine Greek yogurt, chopped dill, minced garlic, grated cucumber, lemon juice, and kosher salt. Cover it and refrigerate until serving time.
Thread the marinated chicken pieces onto skewers evenly.
Place the prepared skewers directly on the grill grates and cook them for approximately 5-6 minutes on each side or until their internal temperature reaches 165 degrees F.
Once grilled to perfection, serve the chicken skewers warm alongside your chilled yogurt sauce for dipping or drizzling over top.