Heat oven to 325. In a large bowl, beat cake mix, butter, 1 tablespoon milk, vanilla and egg with electric mixer on medium speed until smooth, or mix with a spoon. Mix in additional 1 tablespoon milk if dough is too dry. Stir in nuts and chocolate chips.
Drop dough by slightly less than tablespoonfuls 2 inches apart on ungreased cookie sheets.
Bake cookies 10-12 minutes or until edges are set (centers will be soft and cookies will be very light in color). Cool 1 minute, remove from cookie sheets to cooling rack. Store covered.