This is just to confirm something. If I play Bringing.. as my first form, name say responses and then clear it from my card pool... Will my effect still stay in play even though it wasn't in my card pool during my turn? I'm thinking yes, but it never hurts to be safe.

Bringing the Master to his Knees doesn't say "as long as this card is in the card pool" so it's effects will last all turn regardless of whether it is in the card pool or not.

Cascade said:

*STAMP*

As a note, the TR does specify that abilities exist independant from their sources, unless of course the ability specifies otherwise (like Challenge the Master "while this is in you card pool")