Use kitchen roll/paper towels to pat the chops dry, then generously season both sides with salt and pepper. If the strip of fat is fairly thick, consider scoring it with a knife to prevent them curling in the pan.
Place a large pan over medium-high heat and add a drizzle of oil. Once hot, add the chops and fry for around 3 minutes each side, or until they've built up a golden crust and are just cooked through. Stack them on top of each other with the strips of fat aligning, then sear for a couple of mins until the strip is deep golden with the fat has rendered out. Rest the chops to one side.
Lower the heat to medium and add the shallots to the leftover fat. Fry until soft and golden, then fry the garlic for 30 seconds or so. Pour in the wine, turn the heat up slightly and rapidly simmer for 3-4 minutes, or until it's almost completely evaporated and the pungent smell of alcohol has disappeared (this is important so the sauce doesn't end up sour). Lower the heat back down to medium.
Pour in the stock and cream, then stir in the mustard and tarragon. Simmer the sauce, stirring somewhat frequently, until it thickens up (around 3-4 minutes). Stir in the resting juices from the pork, then stir in the butter until it melts into the sauce. Check for seasoning and adjust if needed.
Baste the chops in the sauce, then serve up and enjoy!