Place raspberries in a blender or food processor; cover and process until pureed. Strain and discard seeds; transfer puree to a small saucepan. Stir in cucumber, apple, grape juice, and sugar. Bring to a boil. Reduce heat; simmer, uncovered, for five to seven minutes or until cucumber and apple are tender. Keep warm.
Meanwhile, in a large skillet, sauté garlic in oil until tender. Add lamb chops. Cook, uncovered, for seven to 10 minutes on each side or until meat reaches doneness (160° for medium well, 170° for well done). Serve with raspberry sauce.