Place the chicken breasts between two sheets of plastic wrap and pound each to 1/4-inch thickness. (You can also use kitchen shears to butterfly or cut them in half horizontally if this is easier for you.)
Next, season both sides of the chicken with salt and pepper.
Next, melt one tablespoon of butter and the tablespoon of olive oil in a large skillet over medium heat. Add the chicken to the pan, being sure not to crowd the breasts, working in batches if you need to. Cook each side for 3-4 minutes or until cooked through. (Chicken should be cooked to an internal temperature of 165 degrees Fahrenheit. Use a meat thermometer to test the thickest part of the chicken.) Once they are done cooking, transfer the chicken pieces to a platter and keep warm.
In the same skillet that you cooked the chicken in, add the minced garlic and saute for about 30 seconds. Next, add the chicken broth and balsamic vinegar. Mix everything together with a whisk, being sure to loosen any of the browned bits from the bottom of the pan and include them in the mixture.
Turn the burner up to medium-high heat and bring the mixture to a boil, until the liquid is reduced by about half (this should take 4-5 minutes).
Finally, whisk in the spicy honey and 2 tablespoons of butter. Continue to allow the mixture to boil until it reaches your desired consistency.
Pour the finished honey mixture over the chicken breasts and serve.
Store leftovers of this flavorful chicken in an airtight container in the refrigerator for up to 3 days.