Make the sauce: Whisk the mayonnaise, mustard and honey in a small bowl. Refrigerate until ready to serve.
Make the chicken fingers: Put 1/4 cup flour in a shallow dish; set aside. Whisk the remaining 1 3/4 cups flour, the cornmeal, sugar, chile powder, baking powder and 1 teaspoon salt in a large bowl. Make a well in the center and add the milk and eggs. Whisk until smooth.
Set a rack on a baking sheet. Heat 1 1/2 inches vegetable oil in a medium Dutch oven or heavy pot over medium heat until a deep-fry thermometer registers 350˚ F. Working in batches, season the chicken with salt, dredge in the flour, shaking off any excess, then dip in the batter. Fry until golden brown and cooked through, about 5 minutes. (Adjust the heat as needed to maintain the temperature.) Remove to the rack to drain. Serve with the sauce.