Hello,
For this continuous itching, since there is no rash, pain or discharge, get it evaluated from a dermatologist and get a biopsy skin done. This will confirm the diagnosis. Till then, you should keep the area clean and apply some topical antiseptics. Also wear loose-fitting cotton clothing and use an antibacterial soap or mild soap like dove. Avoid any kind of cosmetics and apply calamine lotion. You can take oral antihistaminics to get a relief from itching.
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.
Is your itching symmetrical? By that I mean do both your wrists itch and then both your knees and then both your ankles, etc.?