In a large bowl, combine the cornmeal, flour, baking powder, salt, Essence, and cayenne.
Add the buttermilk, eggs, and 2 tablespoons of the oil to the cornmeal mixture and stir to combine. The batter will be lumpy.
In a large pot or electric fryer, heat enough oil to come halfway up the sides to 360 degrees F.
Place cornstarch in a shallow pan, and dredge andouille in the cornstarch, rolling to coat. Spear the sausage links with the bamboo skewers. Holding the long end of the skewer, dip each sausage into the batter, turning to coat evenly.
Slip the coated corndogs, in batches into the hot oil and cook, turning, until golden brown on all sides, 3 to 5 minutes. Drain on paper towels. Serve hot with Creole mustard for dipping.
Yield: 8 large andouille corndogs