Pat pork dry with paper towels and season with salt and pepper. Heat 2 Tbsp oil in a large skillet over medium-high heat until just smoking. Add pork and cook until browned on all sides.
Add remaining oil, bell pepper, and jalapeno to empty skillet and cook until lightly browned, about 5 mins. Stir in cumin an allspice and cook until fragrant, about 30 seconds.
Add Chutney, lime zest, lime juice and any accumulated pork juices to pan and cook until thickened, about 3 minutes. Season with salt and pepper.
To Freeze: Freeze in freezer safe container
To Reheat: Defrost. Finish cooking the pork until its cooked through. Reheat the sauce and serve spooned over pork.