Frosted Banana Oaties

1 cup sugar
1 cup mashed very ripe bananas (2 medium)
3/4 cup butter or margarine softened
1 egg
2 1/2 cups quick-cooking or old-fashioned oats
1 cup all-purpose flour
1/2 teaspoon salt
1/2 teaspoon baking soda
1/2 teaspoon ground cinnamon
1/4 teaspoon ground allspice
Vanilla Frosting (recipe follows)
Vanilla Frosting
3 cups powdered sugar
1/3 cup butter or margarine softened
1 1/2 teaspoons vanilla
2 tablespoons milk (2 to 3 tablespoons)
Heat oven to 350. Grease cookie sheet. Beat sugar, bananas, butter and egg in large bowl with electric mixer on medium speed, or mix with spoon.
Stir in remaining ingredients except
Vanilla Frosting.
Drop dough by rounded tablespoonfuls about 2 inches apart onto cookie sheet. Bake 10 to 12 minutes or until edges are golden brown and almost no indentation remains when touched in center. Cool 1 to 2 minutes; remove from cookie sheet to wire rack. Cool completely. Frost with Vanilla Frosting.
Vanilla Frosting:
Mix all ingredients until smooth and spreadable.