Warm oil in a large nonstick skillet over medium-high heat. Season chops with salt, pepper and 1/2 tsp. ground cumin. Add chops to skillet and cook until browned, 3 to 4 minutes per side.
In a small bowl, combine remaining 1/4 tsp. cumin, honey, soy sauce, mustard and 1/4 cup water. Pour mixture into pan with chops, lower heat and simmer, uncovered, until meat is cooked through, about 6 minutes, turning once. Transfer chops to a plate and cover with foil to keep warm.
Add broccoli to pan, raise heat to medium and cook until heated through, 3 minutes, stirring often (or cook separately). Using a slotted spoon, transfer broccoli to a serving dish. Cook remaining sauce for 1 minute. Drizzle over chops and serve.
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