In a large bowl, mix together flour, baking soda, ginger, cinnamon, ground cloves, and salt. Set aside.
In another bowl, cream together brown sugar and butter. Stir in molasses, egg, and milk.
Stir dry ingredients into butter mixture until well-incorporated. Spoon onto a greased cookie sheet (or one covered in parchment paper) and bake at 350 degrees for 10-12 minutes. At about 8 minutes, use a spoon to make an indention in the top of the cookies.
Once removed from the oven, allow cookies to cool. Spoon cookie butter into indentions in the cookies once cooled.