Try glycerine containing hand cremes.
It can be due to dry skin due to overuse of chemicals or soaps. The mainstay of management is liberal use of moisturizers after washing with luke warm water. Soap should be used minimally. Moisturizers should be reapplied liberally during the day. Also hydrate and protect hands and wrists by applying a moisturizing cream. At night, repair them with creams formulated from glycolic acid—a must for improving skin texture and tone. For a more intensive nighttime treatment, apply cream and then cover hands with gloves or socks.
If the symptoms worsen or persist then please consult a dermatologist.
It is very difficult to precisely confirm a diagnosis without examination and investigations and the answer is based on the medical information provided. For exact diagnosis, you are requested to consult your doctor. I sincerely hope that helps. Take care and please do keep me posted on how you are doing.