Preheat the oven to 350°F (180°C). Season the pork loin generously with salt, freshly ground black pepper, and chopped fresh thyme.
Heat olive oil in a large oven-safe skillet over medium-high heat. Sear the pork loin on all sides until deeply golden brown. This should take about 3-4 minutes per side.
Transfer the skillet to the preheated oven and roast the pork loin for 25-30 minutes, or until a meat thermometer inserted into the thickest part registers 150°F (65°C). Remove from the oven and let it rest for 10 minutes before slicing.
While the pork is roasting, peel, core, and dice the apples into ½-inch pieces. In a medium saucepan, melt the butter over medium heat and add the diced apples.
Stir in the brown sugar and ground cinnamon. Cook the apples for 10-15 minutes, stirring occasionally, until they are softened and lightly caramelized.
Pour in the chicken stock and bring to a simmer. Continue to cook for another 5 minutes, or until the apple compote has thickened slightly.
Slice the pork loin thinly and serve immediately with the warm apple compote spooned over the top. Garnish with a sprig of fresh thyme, if desired.
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