S.P.
Atopic Dermatitis and Keratosis pilaris are the two conditions this sounds like, and both are very common early in life. Keratosis pilaris is an extremely common condition that is seen on the outer aspect of the arms and anterior thighs in many healthy young children. Sometimes there is a worsening of this if associated with Atopic Dermatitis, or eczema. Keratosis pilaris tends to persist in a mild form for life and presents no more than a cosmetic problem. Treatment is aimed at hydrating the affected area with unscented oil baths and emollients. There are several good products on the market today. Hope this helps.
SP