Is there a treatment or method for skin that feels tight after washing my face?

As soon as I wash my face, it feels intensely tight and dry. It feels uncomfortable even before the water dries, so I apply my basic skincare products right away, but that tight feeling returns quickly. I'm confused whether my cleansing product doesn't agree with me, or if I'm washing my face too often or too harshly. If anyone has had a similar experience, please let me know in detail how you changed your routine.