In a medium saucepan, combine sugar, cornstarch, and salt. Gradually whisk in milk until smooth.
Place the saucepan over medium heat and cook, stirring constantly, until the mixture thickens and comes to a boil.
In a separate bowl, whisk the egg yolks. Gradually whisk in a small amount of the hot milk mixture to temper the eggs.
Pour the egg mixture back into the saucepan and cook for an additional 2 minutes, stirring constantly.
Remove the saucepan from heat and stir in the vanilla extract. Let the mixture cool slightly.
Arrange sliced bananas evenly on the bottom of the baked pie crust.
Pour the cooled cream filling over the bananas, spreading it evenly.
In a separate bowl, whip the heavy cream until stiff peaks form. Spread the whipped cream over the top of the pie.
Refrigerate the pie for at least 4 hours, or until set.
Serve chilled and enjoy the creamy goodness!