Line a shallow storage container with wax paper. Put a small scoop of ice cream (about 2 teaspoons) on a cookie and top with another cookie. Roll the ice cream sandwich in the chopped chocolate so the chocolate adheres to the ice cream. Place in the wax paper-lined container. Repeat with the remaining ingredients until you have 12 ice cream sandwiches.
Cover and place in the freezer to set for at least 30 minutes, or freeze for up to 1 week.