Slice each chicken breast horizontally to create four thin cutlets. Season both sides with salt and black pepper.
Place flour in a shallow dish and coat each piece of chicken evenly. Shake off excess flour.
Heat most of the butter in a large skillet over high heat, reserving about 1 teaspoon for later.
Add chicken and cook for 2–3 minutes until golden brown. Flip and cook the other side for 1 minute.
Reduce heat to medium-high. Move chicken slightly to one side of the pan.
Add garlic and the remaining butter. Stir briefly until fragrant.
Pour in vinegar, soy sauce, and honey. Stir gently to combine.
Let the sauce simmer for about 1 minute until slightly thickened.
Turn chicken pieces to coat thoroughly in the sauce. If the sauce thickens too much, add a small splash of water.
Remove from heat immediately. Plate the Honey Garlic Chicken Breast and spoon the glossy sauce over the top.