Spread 1/2 tbsp of butter on one side of each slice of bread. Flip all the slices over. Add pesto and honey to two pieces of bread, adding 1/2 tbsp pesto and 1 tsp of honey to each.
Pile the shredded cheese on top of the pesto + honey. Place the other slices of bread, butter side up, onto each sandwich.
Transfer the sandwiches to a pan over medium low heat. Flip once the bread toasts up golden brown and the cheese begins to melt. If the cheese isn't melting, you can top the pan with a lid to speed up the process.
Remove from the pan when both sides are golden brown and the cheese is all melted. Enjoy while it's hot!