In small sauté pan, cook bacon over medium heat, stirring occasionally until browned and crisp, about 8-10 minutes. Using slotted spoon, transfer bacon to small bowl.
Cut 1 stick of butter into pieces. Add pieces to drippings and cook, stirring often, until butter foams and browns, about 5-8 minutes.
Strain mixture into medium bowl or bowl of stand mixer. Stir in minced shallot. Allow bacon fat-butter mixture to cool 30 minutes, or until it reaches room temperature.
Add remaining stick of butter to bacon fat mixture. Using hand mixer or stand mixer, beat until light and fluffy. Add chives, vinegar, and reserved bacon. Season with kosher salt and pepper, to taste.