To have or cause an uncomfortable feeling on the skin that makes you want to rub it with your nails. (Cambridge Dictionary)
When a part of your body itches, you have an unpleasant feeling on your skin that makes you want to scratch. (Collins Dictionary)
An uncomfortable sensation on the skin that causes a desire to scratch. (Oxford Dictionaries)
Does itching indicate healing?
What Are the Superstitions About Itchy Feet?