Heat a large skillet over medium-high heat, then add 2 tablespoons butter and 2 tablespoons olive oil. Heat until melted.
Cut the 4 boneless skinless chicken breasts, in half lengthwise into thin cutlets. Place into the skillet and cook for 3-4 minutes on each side. Remove the chicken and set aside.
Reduce the heat to medium and saute the 3 garlic cloves, for just a minute. Add 1 cup white wine and continue to cook until reduced by half.
Add 1 tablespoon Dijon mustard and 1 tablespoon grainy mustard and stir to combine. Then add in the ½ cup heavy cream, ½ cup chicken broth, 3 tablespoons honey, and salt and pepper to taste.
Add the chicken back to the sauce and finish cooking the chicken in the sauce, about 4-5 minutes.