Heat a griddle over medium-low heat.
Spread the butter on the outsides of the split muffins. Divide the cheese among the 4 muffin bottoms. Cover with the muffin tops, buttered sides out.
Griddle the muffins until deeply golden and the cheese glues the top and the bottom together, about 3 to 4 minutes on each side. Transfer to serving plates and serve hot.
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