Preheat your oven to 400°F. Season the chicken breasts with salt and pepper on both sides.
In an oven-safe skillet, heat the olive oil over medium-high heat. Add the chicken breasts and sear for 4-5 minutes on each side until golden brown.
Remove the skillet from heat. Layer the halved cherry tomatoes and mozzarella slices over the chicken.
Transfer the skillet to the preheated oven and bake for 20-25 minutes, or until the chicken is cooked through (internal temperature of 165°F).
While the chicken is baking, prepare the balsamic reduction. In a small saucepan, combine the balsamic vinegar and honey. Bring to a simmer over medium heat and cook for 10-15 minutes, stirring occasionally, until the mixture has thickened and reduced by half.
Once the chicken is done, remove it from the oven and let it rest for 5 minutes. Drizzle the balsamic reduction over the chicken and top with fresh basil leaves before serving.