An itch is a very slight form of pain from your nerves. There is
usually something touching you and your body feels threatened by
the contact, and so you itch to remove it from your skin.
In bites and stings it's because the nerves are stimulated by
the poison/acid/alkali released into the bite.
Sometimes you may feel a 'Phantom' or travelling itch, when you
can't quite tell where you need to itch. This is caused by random
stimulation of the nerve, the cause of which is unknown