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.
Sandwiches are done when cheese is melted.
Depending on the size of your skillet, you may need to work in batches if all of the sandwiches don't fit. Alternately, you can cook the sandwiches on a panini maker if you have one available.
Cut in half and enjoy!