How to Make It
Preheat oven to 350°F. Place ¾ cup of the ice cream in a medium bowl. Let stand until melted, about 20 minutes. Stir in flour and butter until no lumps remain; let stand 5 minutes. Using a 2-inch cookie scoop, drop 8 spoonfuls of dough 2 inches apart on a parchment-lined baking sheet; flatten just slightly with the back of a spoon.
Bake until tops of cookies are dry, 8 to 10 minutes. Transfer cookies to a wire rack, and cool completely, about 15 minutes. Divide remaining ice cream evenly among 4 cookies, spreading evenly to cover. Sandwich with remaining cookies and serve immediately.