Make the dipping sauce: In a medium bowl, whisk together the mayonnaise with the honey, dill, mustard powder, and lemon juice. Season with salt and pepper, and stir together until smooth; set honey-dill dipping sauce aside,.
Make the chicken fingers: In a medium bowl, toss together chicken, sugar, salt, pepper, garlic powder, paprika, and mustard; set aside. Place flour, eggs, and breadcrumbs in 3 separate shallow dishes; set aside. Pour oil to a depth of 2" into a 6 quart Dutch oven; heat over medium-high heat until deep fry thermometer reads 325 degrees.
Working in batches, coat chicken with flour, shake off excess, and dip in eggs; coat in breadcrumbs. Fry chicken until golden brown and crisp, about 3 minutes. Transfer to paper towels to drain. Repeat with remaining chicken. Serve with dipping sauce.