Cut chicken wings into three sections; discard wing tips. In an electric skillet or deep-fat fryer, heat oil to 375°. Fry chicken wings, a few at a time, until juices run clear. Drain on paper towels.
In a large skillet, melt butter. Stir in the brown sugar, lemon juice, garlic and hot sauce; bring just to a boil. Add chicken wings; turn to coat. Cook and turn for 5-10 minutes or until well coated. Serve with celery and carrot sticks and salad dressing for dipping.