Yes, this is the downside of detoxification. Toxins in your bloodstream come out any way they can, and often throught the skin.
I did a ten day Master Cleanse in February and for about a week afterwards I had rashes and itching all over. The liver cleanse generally gives me itchy eyes and itching behind the ears.
I also drank detoxification teas but they only continue the release of toxins into the bloodsteam futhering the itching.
The trick is WATER, lots of water! This flushes the kidneys and allows them to be more efficient when filtering the blood. (A kidney cleanse might also help but I have never done one.)It also lessens the concentration of the toxins that come out in perspiration.
Frequent bathing and hot salt baths also help but as they make you sweat more the water is again indespensible.