PREHEAT oven to 350°F. Beat butter and sugar in large bowl with electric mixer on medium speed until light and fluffy. Add eggs, one at a time, beating well after each addition. Add cornmeal, baking powder and allspice; beat until well blended. Add cheese and sour cream; mix well.
POUR into greased 8-inch square baking pan.
BAKE 40 min. or until toothpick inserted in center comes out clean. Cool completely. Cut into 16 squares to serve.