Preheat oven to 375°F.
Pat chops dry and cut 2 slits in each chop near the bone. Nestle the halved garlic pieces into each slit. Rub chops with a combination of the rosemary, fennel, citrus zest and lots of salt and pepper.
Heat a large skillet over medium-high heat with EVOO, 2 turns of the pan. Add chops and brown 2-3 minutes on each side. Transfer to oven and roast 12-15 minutes. Deglaze the pan with white wine and let meat rest a few minutes before carving.
Meanwhile, melt butter in a small saucepot over medium heat. Add shallots and soften, 3-4 minutes. Stir in raisins then take pot off heat. Add rum and return pot to heat. Reduce 2 minutes at a low simmer. Add stock and simmer 7-8 minutes more.