Preheat the oven to 350 degrees.

In a mixing bowl add butter and sugar and mix for 2 minutes. Add pumpkin puree and mix well. Add the egg and vanilla and mix well. Add flour, baking powder, baking soda, cinnamon, nutmeg, cloves, ginger, and salt and mix until combined.

Use a cookie scoop and place dough onto prepared baking sheets leaving several inches around each cookie so they can spread out. Bake for 10-12 minutes, or until they are lightly browned around the edges. Remove and allow to cool for several minutes and then transfer to a cooling rack.

When you cookies are completely cooled, in a small bowl whisk together the powdered sugar, ginger and water. Place in a plastic bag and cut a small corner off the end. Drizzle over cookies and when the glaze is set, store in a plastic container.