Heat oven to 350 F. Line baking sheet with parchment paper and set aside.
To make oatmeal cookies: with a mixer, cream butter, dark brown sugar and light brown sugar on medium-high speed until creamy. Add eggs and vanilla extract; mix until combined.
In medium bowl, whisk flour, baking soda, salt, cinnamon, cloves and oats. Gradually add oat mixture to wet ingredients, mixing until just combined.
Spoon dough into hands and roll into balls. Flatten balls and place onto prepared baking sheet, leaving about 2 inches between each cookie. Bake 10-12 minutes, or until lightly golden brown around edges. Move cookies to wire rack to cool completely.
To make vanilla bean cream filling: with a mixer, cream butter on medium-high speed until light and fluffy. Gradually add powdered sugar, vanilla extract and heavy cream; mix until combined.
Pipe or spoon a large dollop of filling on bottom sides of half the cookies; top each with second cookie.