Preheat oven to 350°F. Grease a 12-cup muffin tin with oil or add paper cupcake liners.
In a small bowl, mix together the brown sugar and cinnamon.
Open the biscuit dough package and separate into individual pieces. Cut them into quarters and coat thoroughly with the brown sugar mixture. Reserve any remaining mixture.
Place 4 pieces of dough into each muffin cup.
In a medium bowl, combine butterscotch pudding mix, melted butter and add in any remaining brown sugar mix.
Coat the top of your muffins with butterscotch mixture.
Bake for 18-20 minutes until a toothpick inserted in the center comes out clean.
Remove from the oven and set aside to cool in the pan.
Make the icing: In a medium bowl, whisk together the butter, powdered sugar and milk.
Once the muffins are lukewarm, drizzle the icing on top and serve.