1. Preheat oven to 350 degrees.

2. Pat pork chops dry and season with salt and pepper. Heat 2 teaspoons oil in a large ovenproof skillet over medium-high heat; add pork chops and cook, turning once, until nicely browned, about 2 minutes per side. Transfer to oven and roast until just cooked through, about 8 minutes. Transfer pork chops to a plate and keep warm.

3. Meanwhile, heat remaining 2 teaspoons oil in a medium skillet. Add shallots, garlic, ginger, and thyme and cook over medium-high heat, stirring, until softened, about 1 minute. Add wine and cook until reduced by half; add balsamic, maple syrup, chicken stock, and rhubarb. Cook until rhubarb has softened, 7 to 8 minutes. Add butter and swirl until melted and well combined; season with salt and pepper.

4. Divide pork chops evenly between 4 plates and top with compote; serve immediately.