To make the wings: In a large bowl, whisk together the beer and hot sauce. Add chicken and turn to coat. Cover and refrigerate at least 1 hour and up to 3 hours.

To make the sauce: Combine all ingredients and set aside.

To make the dip: Combine all ingredients, place in a serving bowl and refrigerate until needed.

Add oil or shortening to a large pot or deep-fat fryer to make a depth of 1-inch. Heat to 375 degrees F.

Meanwhile, in a medium-size bowl, combine the flour, salt, pepper, cinnamon, and cayenne. Strain the chicken wings and pat them dry. Lightly dust in the flour mixture. Fry the wings, in batches as necessary, turning every 3 minutes until crisp and brown, about 12 minutes (adjust the heat as needed to maintain temperature). Drain wings on paper towels and toss with butter sauce.

Serve immediately with blue cheese dip and carrot and celery sticks.