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In a mixing bowl whisk together salad dressing, balsamic vinegar, honey and red pepper flakes, set aside.
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Heat olive oil in a 12-inch skillet over medium-high heat. Season chicken with salt and pepper to taste, then place chicken evenly in skillet. Cook about 6 – 7 minutes, rotating once halfway through cooking, until chicken has cooked through (meanwhile, chop asparagus and tomatoes).
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Add half the dressing mixture to skillet and rotate chicken to evenly coat. Transfer chicken to a large plate or a serving platter while leaving sauce in skillet.
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Add asparagus and carrots to skillet, season with salt and pepper to taste and cook, stirring frequently, until crisp-tender, about 4 minutes. Transfer veggies to plate or platter with chicken.
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Add remaining dressing mixture to skillet and cook, stirring constantly, until thickened, about 1 minute.
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Add tomatoes to chicken and veggies and drizzle dressing mixture in pan over top (or return chicken and veggies to the pan and toss to coat).