Crissi's Nutter-Butter Banana Pudding

Another recipe courtesy of my sister.

INGREDIENTS:
3 C. Milk
3 Large Eggs
3/4 C. sugar
1/3 C. Flour
2 TBSP. Butter
2 tsp. Vanilla
5 Ripe Bananas
1 package of Nutter Butter Sandwich Cookies (1 pound package)
Tub of extra creamy Cool-Whip

Whisk together first 4 ingredients in large saucepan over medium-low heat. Cook, whisking constantly, 15 to 20 minutes or until thickened. Removed from heat; stir in butter and vanilla until butter is melted.

Fill a large bowl with ice. Place saucepan in ice, and let stand, stirring occasionally, 30 minutes or until mixture is thoroughly chilled.

Meanwhile, cut bananas into 1/4 inch slices. Break all cookies into thirds.

Spoon half of pudding mixture into a 3-quart bowl. Top with bananas and cookies (about half of bulk) Spread half of tub of cool whip on top. Spoon remaining pudding mixture over bananas and cookies and layer more bananas and cookies before adding remaining cool whip. Add a few slices of bananas and cookie chips to top for garnish. Cover and chill 2 to 24 hours. The longer it chills, the better it tastes! It gives it time for the flavors to infuse and the cookies to soften!