In a large bowl combine your condensed milk and your vanilla extract.
Whip your heavy cream in a large bowl until stiff peaks are formed, about 5 minutes on high.
Fold your whipped cream into your sweetened condensed milk.
Pour about 1/3 of your ice cream mixture into your 9x5 inch pan.
Sprinkle some of your cookie dough pieces on top of your ice cream mixture. Swirl the cookie dough pieces through, so they are spread throughout the ice cream. Add a few more pieces on top if needed.
Sprinkle with about 2 TBS of your mini chocolate chips, and swirl those throughout too.
Repeat with another 1/3 of ice cream, 1/3 of cookie dough and 2 TBS chocolate chips.
Repeat with final layer.
Cover with plastic wrap or foil and place in freezer for 6 hours, or overnight.