One should not exaggerate peeling and exfoliation. When you do a face scrub the outermost layer, mainly dead skin cells, is removed. If you overdo the scrubbing there is a risk of skin cells responding by excessive production of new cells. It can lead to a thicker cell layer and a thicker skin.
A facial scrub every other week can be a good level, and when you do peeling do it carefully and be sure to moisturize afterwards. Use a moisturizer that contains glycerin, urea or hyaluronic acid.