Combine 1 tablespoon butter and chocolate chips in a microwave-safe bowl; heat in microwave until melted, 20 to 40 seconds.
Mix marshmallow cream and remaining 1 tablespoon butter in a separate microwave-safe bowl; heat in microwave, stirring occasionally, until melted, 20 to 40 seconds. Stir chocolate mixture into marshmallow mixture.
Arrange graham crackers in a circular pattern on a plate. Spoon marshmallow mixture onto each.