In a large skillet, heat oil over medium heat. Sprinkle lamb chops with 1/2 teaspoon salt and 1/4 teaspoon pepper. Brown chops in batches; remove and keep warm. Add onion, celery, green pepper, garlic, basil, and remaining 1/2 teaspoon salt and 1/4 teaspoon pepper. Cook and stir until crisp-tender, 5-7 minutes.
Return lamb to skillet; add tomatoes. Cook, covered, until lamb reaches desired doneness (for medium-rare, a thermometer should read 135°; medium, 140°; medium-well, 145°), about 20 minutes longer. Meanwhile, cook rice according to package directions, adding turmeric if desired. Serve with lamb mixture.