Prepare a large pot of salted water to boil.
Heat 2 tablespoons garlic oil in a medium skillet over medium heat. Add sage leaves in a single layer and sauté, for about 30 to 60 seconds a side until crisp. Leaving the oil in the skillet, transfer the leaves to a paper towel-lined plate.
Add the prosciutto and cook, stirring occasionally, until crisp, about 1 to 2 minutes. Leaving the oil in the skillet, transfer the prosciutto to the same plate with the sage. Set aside.
Add remaining oil to the skillet. Stir in the shallot and cook until soft and translucent, about 1 minute. Add the cream and bring to a boil. Reduce heat to low and allow cream to simmer for about 5 minutes or until reduced by half. Whisk in the cheese and season with salt and pepper. Remove from heat and cover loosely to keep warm.
Cook gnocchi according package directions, removing gnocchi with slotted spoon and transferring directly to cream sauce.
Add 1 teaspoon of truffle oil and toss all ingredients to combine. Transfer to a serving dish, top with prosciutto, crisped sage and extra cheese. Serve immediately.