Prepare Seasoned Yogurt; set aside.
Place lamb chops on a lightly oiled rack in a broiler pan. Broil about 4 inches below heat, turning once, until well browned on both sides but still pink in center; cut to test (8 to 10 minutes).
Meanwhile, in a wide frying pan, combine sugar, vinegar, onion, raisins, cinnamon, and ginger. Cook over medium-high heat, stirring occasionally, until onion is soft (about 5 minutes). Add papaya and stir gently until heated through (about 3 minutes).
In a small bowl, stir together 1 cup plain nonfat yogurt, 1 tablespoon mustard seeds, 1 teaspoon sugar, 1/4 teaspoon ground cumin, and 1/8 teaspoon chili powder.
Transfer chops to a platter; spoon papaya mixture over chops. Serve Seasoned Yogurt and cucumber strips alongside.