When chicken is cool enough to handle, remove skin and set aside. Pull meat off the bones, discarding red pieces, cartilage and any imperfections. Roughly chop crispiest bits of skin and reserve for croutons for the top of the salad. Measure 3 cups of the chicken, reserving the rest for another recipe.
Divide the 3 cups of chicken into 2 groups: perfectly moist pieces in one, and dry not perfect pieces in another. Roughly chop the perfect pieces and add to a bowl. Add drier pieces to food processor and pulse for 5 seconds. Add pulsed chicken to chicken in bowl.
Add the celery, olives, chopped peppadews, onion, chives, salt and pepper and granulated garlic to the bowl, tossing to combine. Top with 3/4 of the sauce and toss well. Add more sauce, if desired. Top with crispy skin pieces.
Serve with bread, lettuce cups, crackers or chips.