Coat the chicken with the buttermilk, then dredge it in the 1 cup flour. Heat 1 inch of frying oil to about 350°F in a deep, heavy skillet. Fry the chicken in batches, turning as needed, until golden and the thickest part reaches 165°F.
Whisk the 2 cups waffle flour, milk, eggs, baking powder and 3 tablespoons waffle oil just until combined. Do not use the chicken-soaking buttermilk in the batter.
Preheat waffle iron; grease if manufacturer recommends. Cook batter in portions per iron directions until golden and releasing easily.
Set a piece of fried chicken on each waffle.
Drizzle with maple syrup and serve hot.