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Increased skin sensitivity or heightened response to touch called as allodynia is commonly associated with fibromyalgia.
The other common causes of skin crawling sensation or heightened response are anxiety, stress, dry skin, and hypothyroidism. Another possibility is Morgellons disease that is believed to be caused by weak immune systems in people who have contracted the tick-borne Lyme disease at some point in their life. In women menopause is another cause. Discuss these possibilities with your doctor. It is difficult to comment beyond this without examining.
Hope this helps. Please let me know if there is any thing else and do keep me posted. Take care!