In a mixing bowl, beat brown sugar and shortening with an electric mixer on medium speed until well combined. Beat in egg until fluffy. In a bowl, combine flour, baking soda, cinnamon, the 1/4 teaspoon salt, and cloves. Beat into creamed mixture on low speed. Beat in apple juice or cider. By hand, stir in apple, nuts, and raisins.
Drop dough by slightly rounded tablespoons onto a greased cookie sheet. Bake in a 400 degree F for 7 to 8 minutes or until edges are golden.
Meanwhile, in a small bowl, combine the powdered sugar, milk, butter or margarine, vanilla, and the dash salt. Stir the mixture until smooth. Spread on warm cookies. Makes 36 cookies.