No..this is in relation to the owners of private land and clamping. If it's the pubic highway/council owned or controlled land, the the law is as it was. They can clamp/fine you.
If you overstayed / violated parking restrictions on a private estate, then they can no longer clamp you, Now only peruse you (as the owner of the vehicle) through the courts, to get a civil remedy for breach of contract. If you fail to pay - if they win of course in court - then they can get the bailiffs on to you as you now have a CCJ against you.
However, if it's your local pikey estate under council control, then they can still clamp you if you violate parking restrictions or fail to put enough coin in the meter.
Have a read of the BBC link in the first post.