How to Make It
Preheat the oven to 350°. In a large saucepan over moderately high heat, heat the oil to 360°. Fry the potato skins in batches, stirring occasionally, until browned and crisp, 2 to 3 minutes per batch. Using a slotted spoon, transfer each batch of potato strips to paper towels to drain, then sprinkle with salt immediately.
Transfer the potato strips to a baking sheet and sprinkle them with the grated Parmigiano-Reggiano. Bake for 3 to 4 minutes, just until the cheese is melted. Let the crisps cool, then transfer to a bowl.
In a blender or processor, puree the sour cream with the chives and a pinch of salt and pepper until the chives are finely chopped. Transfer the dip to a bowl and serve alongside the potato crisps.