What exactly is the difference between a clearing house and a counterparty clearing house?

Sometimes a clearing house is called a CCP or Central Counterparty. For exchange traded options, the Clearing House or CCP is the counterparty to every transaction.

I am not aware of any distinction though have not specifically heard the term "counterparty clearing house" on its own.

The main different is I supposed on its legal standing, a CCP novate the trade from two parties - thus become a part of trade, while clearing house guaranteed the trade settlement (not directly become part of the trade)