Cook pasta according to direction. Be sure to cook until just tender.
Meanwhile, separate the radishes from the greens and slice 1/8” thick. Make enough for 1 cup. Coarsely chop greens.
Cut the bacon in 1/3” strips. Cook in a sauté pan over high heat for 3 minutes, until fat is rendered and bacon is soft.
Add the oil, radish leaves, and sliced radishes. Cook over high heat until the greens wilt and radishes soften, 5 min.
Drain the pasta, add to the pan & cook 2 minutes. Add to bowl & toss with ½ the cheese, salt & pepper.
Serve with remaining cheese sprinkled on top.