In a bowl, combine shredded chicken with buffalo sauce.
Spread butter on one side of each slice of bread. On unbuttered side of four slices, place 1/4 of the chicken. Top chicken with 2 slices of cheese, then remaining slices of bread, buttered side up.
Heat a large skillet over medium heat. Place sandwiches on hot skillet, cooking about 4-5 minutes on each side. Flip when golden brown. Serve immediately.