If it recurs like that, it's probably dyshidrotic eczema. Occurs on hands &/or feet. (Hand foot & mouth is usually a once or maybe twice kind of thing - viral disease & all). No "cure" but it can be treated with topical steroids (I personally wouldn't bother with treating it, but that's me.)
Rubbing alcohol may help a lot with the itch, and shouldn't do any harm. No worries - it's a benign annoyance.
Some of the more herbally/naturally trained mamas may have herbal/homeopathic helps for the itchies. I'm still working on herbal knowledge - trained in allopathic medicine.
crafty mama to Chloe and Emma (10/08) and Piper
emergency medicine PA and single mother by choice