Preheat the smoker (or grill) to 225 degrees F. Rinse and pat dry the chicken drum sticks with paper towels. Using a sharp knife, make a cut into the skin and through any tendons 1/3 of the way from the tip. (removing about 1-1.5" off)
Use the knife to peel and cut away any of the skin and meat off of the knuckle area revealing just the bone. With your hands, push the skin and meat as far as you can up to the top creating the “lollipop” look. (you should have nothing but bone on one side, and then meat on the other).
Gently slide the skin over the meat as well. To make the drumsticks stand you may have to level off the top of the bone by cutting the bone. Repeat until all of the drumsticks are prepared.
Brush with olive oil. Season each with dry seasoning by rubbing it into the skin and meat. Place on a pan to easily transport out to the smoker (or grill).
Place the drumsticks directly onto the smoker grates with the meat side down. Close the lid and let smoke until the internal temperature reaches 165-170 degrees F (about 2 hours).