Set up your smoker for dual-zone smoking - direct heat and indirect heat. Preheat the smoker to 225F at the grate level in the indirect heat zone.
While the smoker is preheating, combine apple cider vinegar sauce ingredients in a small bowl or a cup and stir or whisk well. Set aside until ready to use.
Rub the chicken with oil and evenly sprinkle the seasonings on both sides of the chicken halves. Pat down to make the seasonings stick.
Transfer the chicken to the smoker, skin side up and smoke over indirect heat for about 1.5 hours or until the internal temperature in the breast part reaches 140F.
Flip the chicken (the halve will be skin side down now) and transfer to the direct heat zone. Smoke for 10 minutes. Flip and continue smoking over direct heat until the internal temperature in the breast part reaches 160F and about 185F in the leg/thigh parts.
Remove the chicken from the smoker and let rest for 10 minutes.
Cut the chicken into serving pieces, douse with the apple cider vinegar sauce and serve with your favorite side dish.