Preheat the oven to 350 F. In a medium bowl, whisk together flour, salt, baking soda, cinnamon, ginger, and cloves. In another large bowl, combine butter with both sugars and molasses until fluffy.
Add in the egg and vanilla extract, and mix until smooth. Add in the flour mixture, mix until it is fully combined. Roll the cookie dough into balls, and flatten each slightly.
Place one Oreo cookie onto each piece of dough and roll it into a ball. Place the cookies onto a large ungreased baking sheet at least 2-inches apart. Bake for 10-12 minutes.