I have extremely dry skin. After I wash my face it gets very tight and my skin retains no moisture at all. I've tried a variety of lotions, but nothing helps. Many people experience dryness and tightness of the skin after washing. This is more apparent in dry climates and in cold temperatures.
Cold air seems to dry the skin even more.
It is important to drink at least eight glasses of water a day and to moisturize after washing with soap and water. Perhaps you might benefit from using a cold cream cleanser. If you have no rash or other problems, you should be able to handle this without consulting a dermatologist. Check the calendar.