Preheat your oven to 400 degrees F and line a large baking sheet with foil. Place the chicken on top and sprinkle with cajun seasoning. Bake chicken for 35-40 minutes or until cooked through. Remove from heat and sliced.
While the chicken is baking, prepare the rest of your ingredients. Bring a large pot of salted water to a boil. Add the bucatini and boil until al dente, about 8-10 minutes. Drain, reserving about 1/2 cup of pasta water.
While the bucatini is boiling, add a tablespoon of olive oil to a large saute pan set over medium-low heat. Add the tomatoes and season with salt and black pepper. Cook until the tomatoes JUST BEGIN to blister and are slightly warmed through. Remove from heat and transfer the tomatoes to a bowl. Cover. Adjust the temperature of the pan to medium.
Add the butter to the pan and melt. Add the garlic, basil, and crushed red pepper. Cook for two minutes, and remove from heat. Season with salt and black pepper. Transfer the pasta along with 1/4 cup of pasta water to the pan with butter. Add more water as needed. Also add the chicken and tomatoes. Toss to combine. Season to taste.
Serve the pasta topped with cheese and fresh parsley. Enjoy!