Pat chicken dry and season both sides with salt and black pepper.
Heat olive oil in a large skillet over medium heat. Sear chicken on both sides until golden. Remove and set aside.
In the same skillet, add garlic and cook for about 30 seconds until fragrant.
Add blueberries, chicken broth, thyme, and balsamic vinegar. Simmer until blueberries soften and release juices.
Return chicken to the skillet and simmer gently until fully cooked and coated in the sauce.
Taste the sauce and add honey if additional sweetness is desired. Serve warm.