The tightness and flakiness around your mouth suggest a compromised skin barrier, often caused by dry weather, lip-licking, or harsh skincare products. First, stop using active ingredients (like retinoids or exfoliants) and scented products on this area. Apply a gentle, fragrance-free barrier-repair cream containing ceramides or hyaluronic acid, and seal it with an occlusive ointment like pure white petrolatum (Vaseline) or Aquaphor multiple times a day. If the skin becomes red, itchy, or develops small bumps, avoid steroid creams, as this could indicate perioral dermatitis. If there is no improvement within a week, please consult a dermatologist for a tailored evaluation.