Spread 1 tablespoon butter on one side of each slice of bread. In a skillet over medium heat, melt 1 tablespoon butter. Add two slices of bread, butter side down.

With butter side down, top each slice of bread with cheddar. Cook until bread is golden and cheese is starting to melt, about 2 minutes. Flip one piece of bread on top of the other and continue to cook until cheese is melty, about 30 seconds more.

Repeat for the second sandwich, wiping skillet clean if necessary.