Preheat smoker to 225°F. Mix all of the rub ingredients in a small bowl.
Coat the chicken breasts in olive oil before liberally rubbing with the homemade seasoning, making sure it adheres.
Place the chicken in the grill and smoke for 1 ½ to 2 hours or until internal temperature reaches 165°F. Remove from the smoker and let rest for 5 minutes before serving.
Notes
Use apple, cherry or maple wood for smoking. They all complement the chicken perfectly.
If you don't want to make your own spice rub, just use store-bought.
Cook to temperature, not time. It is done at 165°F.
Let the chicken rest for 5 minutes before slicing which lets the juices stay inside.