Soak the halibut in the buttermilk for several minutes, then remove and dredge in the flour. Whisk together the buttermilk and egg in a stainless-steel bowl. Dip the halibut into the liquid, and then remove and dredge in the breadcrumbs until coated. Refrigerate for 1 hour.
Heat the canola oil in a straight-sided saucepot to 325 degrees F. Submerge the cheeks in the oil and fry until golden brown. Season with the cayenne and salt and serve with spicy mayonnaise for dipping.
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