Cream shortening in a large mixing bowl; gradually add 1 cup sugar, beating well. Add egg; beat well. Stir in molasses.
Sift together flour, soda, ginger, cinnamon, and cloves in a medium mixing bowl. Gradually add to creamed mixture, stirring well. Chill 2 hours.
Shape dough into 1-inch balls. Dip half of each ball in remaining sugar. Place balls, sugar side up, 2 inches apart on lightly greased cookie sheets. Flatten balls with the bottom of a glass. Bake at 350° for 12 minutes or until browned. (Tops will crack.) Remove from cookie sheets, and cool on wire racks.