Preheat oven to 350 degrees F (175 degrees C). Combine flour, baking powder, baking soda, cinnamon, nutmeg, ground cloves, and salt; set aside.
In a medium bowl, cream together the 1/2 cup of butter and white/brown sugar. Add pumpkin, egg, and 1 teaspoon vanilla to butter mixture, and beat until creamy. Mix in dry ingredients. Drop on cookie sheet by tablespoonfuls; flatten slightly.
Bake for 15 minutes in the preheated oven.
3 Tbsp butter
1/2 cup brown sugar
1 cup confectioners sugar
3/4 tsp vanilla
Combine in a pan the butter, milk and brown sugar. Heat to boiling and boil for 2 minutes, stirring
constantly. Remove from heat and let cool (keep an eye on it, though, so that the butter doesn’t
solidify). Stir in confectioners sugar and vanilla. Spread on cooled cookies.