In a small saucepan over medium low heat, melt butter. When completely melted remove from heat. Take a spoon and gently remove the white (dairy). Strain remaining butter though a fine mesh sieve or cheese cloth if desired. Set aside.
Add flour to a baking dish or platter.
Heat clarified butter in a large skillet over high heat.
Sprinkle both sides of fish with salt and pepper. Lightly coat fish in flour, shaking off excess. Immediately place in skillet.
Cook 2-3 minutes per side. Flip when the under side has turned slightly golden and the edges of the top side are turning white. Fish will be very fragile and want to break apart. Carefully flip using a large spatula.
Plate and enjoy immediately with your favorite side dishes, such as rice and a green salad. Serve with warm butter and fresh lemon slices.