Preheat oven to 350°F. Mix 1/2 cup sugar, 1/3 cup flour, and salt, then blend in 3 egg yolks and milk. Cook for 10 to 12 minutes or until thickened, stirring constantly. Remove from heat. Stir in vanilla. Layer the dish with bananas and cookies, then pour pudding over. Place the remaining cookies along the dish edge.
Beat egg whites until peaks form. Beat in remaining sugar until meringue forms. Spread over pudding. Bake for 15 to 20 minutes.