SPREAD ice cream into 10x8-inch rectangle on large sheet of plastic wrap. Sprinkle half of the chopped cookies down center of ice cream; fold long sides of rectangle over cookies, then roll into a log. Wrap with plastic wrap.
FREEZE at least 4 hours or overnight.
UNWRAP log; roll in remaining chopped cookies. Serve immediately or wrap tightly and return to freezer until ready to serve. Cut into 12 slices. Place 1 slice on each of 12 dessert plates; top with the whipped topping and strawberries.