Heat 1 tablespoon of olive oil in a large skillet with a tight-fitting lid over medium-high heat. Season chicken with salt and
pepper then add to the skillet and cook for 4 to 5 minutes per side or until browned; remove from skillet and set aside.
In the same skillet, heat 2 teaspoons of olive oil; add garlic and cook until soft. Add crushed red pepper flakes and tomato sauce then bring mixture to a simmer and cook for 10 minutes. Return chicken to the pan and check for seasoning.
Over each chicken breast half, sprinkle first the basil, then the cheese; baste each with some of the sauce. Cover and simmer for 10 minutes or until chicken is cooked through and cheese has melted. Serve immediately.