Combine butter or margarine, corn syrup and salt. Stir in sifted confectioner's sugar. Shape 1 teaspoon of the sugar mixture around each cherry. In small, heavy saucepan, melt chocolate, stirring constantly. Holding cherries by stems, dip one at a time into chocolate.
Spoon chocolate over cherries to coat.
Chill until chocolate is hardened. Store candy in a covered container in a cool place. Let candies ripen a week or two. Makes 60 chocolate-covered cherries. Place over hot water and stir until melted.