In a bowl, cream butter and brown sugar until light and fluffy. Beat in cream and egg. Combine dry ingredients; add to creamed mixture. Fold in the apples, chips and nuts. Drop by teaspoonfuls onto greased baking sheets.
Bake at 350° for 12-15 minutes. Do not overbake. Remove to wire racks to cool completely. For glaze, combine all ingredients; spread over cooled cookies.