In a large bowl, combine the flour, cocoa powder, baking powder, baking soda, salt, and sugar.
In another bowl, whisk the melted butter, eggs, sour cream, vanilla extract, and milk.
Pour the egg mixture into the flour mixture, add the chocolate chips, and stir to form a batter, using a wooden spoon or a stand mixer fitted with the paddle attachment, mixing just until all the flour is absorbed. Be sure to scrape the bottom and sides of the bowl to thoroughly incorporate the dry ingredients.
Preheat your waffle maker, whether it's a Belgian waffle iron composed of two 4 1/2-inch squares (the entire grid section should measure about 4 1/2 by 9 inches) or a 5-interconnected-heart waffler maker or just a plain old-fashioned waffle maker you inherited from your parents' basement.
Spoon 1/3 to 1/2 cup batter onto each square of your preheated waffle iron or spoon about 2/3 cup batter into the center of the single 5-heart waffler. Cook the waffles until completely cooked through and set, 1 1/2 to 4 minutes, depending on the waffle maker you're using. The thicker the waffle, the longer the cooking time. Lift the waffles onto warm plates.
Wait a moment before serving to allow the chunks of melted chocolate to cool slightly. Sprinkle the waffles with confectioners' sugar and if desired, drizzle it with hot fudge sauce and/or smother it with scoops of vanilla ice cream.