Place an oven rack in the center of the oven. Preheat the oven to 325ºF. Form the cookie dough into 12 equal-sized balls and place on an ungreased baking sheet.
Bake for 16 to 18 minutes until lightly browned around the edges. Cool for 10 minutes. Transfer the cookies to a wire rack to cool completely, about 20 minutes.
In a small bowl, place chocolate chips. Place the bowl in the microwave on high power until the chocolate has melted and the mixture is smooth.
Spread the melted chocolate on top of 6 of the cooled cookies. Place cookies on a parchment or waxed paper-lined baking sheet. Sprinkle the chocolate-toffee candy pieces on top of the melted chocolate.
Place the remaining 6 cookies, flat-side-up, on the same baking sheet. Freeze the 12 cookies about 1 hour until the chocolate has set on the 6 cookies.
Using an ice cream scoop, scoop about 1/3 cup softened ice cream. Place a chocolate covered cookie on top of the other 6 cookies and gently press to form a sandwich.
Repeat with the remaining ice cream and cookies. Freeze for 3 to 4 hours until firm.