Heat oven to 350°F. In large bowl, mix apples, brown sugar, flour, 1 teaspoon of the cinnamon, the allspice and lemon juice; toss to coat apples well. Spoon into ungreased 9 1/2-inch glass deep-dish pie plate.
Spoon cookie dough, by scant teaspoons, evenly over apples. In small bowl, mix granulated sugar and remaining 1/2 teaspoon cinnamon; sprinkle evenly over cookie dough.
Bake 35 to 45 minutes or until top is golden brown and apples are tender.