Preheat your oven to 375°F (190°C).
Pat dry each chicken breast and season both sides with salt and pepper.
In a medium saucepan, combine blueberries, balsamic vinegar, honey, and fresh thyme. Cook for about 5 minutes, gently smashing some blueberries to create a chunky sauce.
Heat olive oil in an oven-safe skillet over medium-high heat. Sear each chicken breast for 2-3 minutes on each side until golden brown.
Pour the blueberry sauce over the seared chicken in the skillet.
Transfer the skillet to the preheated oven and bake for about 20-25 minutes until the internal temperature reaches 165°F (74°C).
Let the chicken rest for about three minutes before serving.