In a medium bowl, combine flour, sugar and salt; whisk to combine.
Cut in butter with pastry cutter or two knives until crumbly.
Add 3 tablespoons ice cold water and mix to combine. Add more water 1 tablespoon at a time as needed until mixture comes together.
Flatten dough into a round disk. Wrap in plastic wrap and chill 15 minutes or overnight.
Preheat oven to 375 degrees F. Line baking sheet with parchment paper.
Unwrap chilled dough. Spread butter over the top. Mix cinnamon and sugar; sprinkle this over the butter.
Use a pizza cutter to cut dough into 1 inch strips. Place strips on prepared baking sheet. Bake 12-14 minutes or until lightly browned.
For the dip, in a bowl, combine softened cream cheese, powdered sugar and vanilla. Use a hand mixer to mix well. Add milk 1 teaspoon at a time until a smooth consistency is reached. In a small sauce pan combine brown sugar, butter and cinnamon and whisk until butter melts and mixture is smooth. Drizzle cinnamon mixture into cream cheese mixture.
Serve dippers warm or at room temperature.