Dip each nugget into cornmeal, then buttermilk. Let the buttermilk drain off slightly, then dip the nugget back into the cornmeal. Shake off excess cornmeal.
Place coated nuggets into the fryer basket. Make sure not to overcrowd your fryer.
Repeat until all the alligator nuggets are coated.
Cook the nuggets for 2-3 minutes until they float and the meat is completely cooked. (Do overcook meat ... it can become too chewy.)
Drain nuggets in the fryer basket, then transfer them to a plate lined with a paper towel.
Honey Mustard Dipping Sauce
Add all ingredients in a mixing bowl and stir. Stir to combine. Adjust taste with salt and pepper.