Preheat the oven to 350°F (175°C) and grease a cake pan.
Whisk together the flour, baking soda, ground ginger, ground cinnamon, ground cloves, and salt in a bowl.
In another bowl, cream the softened butter and brown sugar until light and fluffy.
Add molasses and eggs to the butter mixture and mix well.
Gradually add the dry ingredients alternating with the hot water to the wet ingredients, mixing until just combined.
Pour the batter into the prepared cake pan and bake for 30 to 35 minutes.
Allow the cake to cool completely before applying the frosting.
For the frosting, beat together softened butter, powdered sugar, cinnamon, and molasses until smooth and creamy.
Spread the frosting evenly over the cooled cake and serve.