There are a lot of good representatives and senators though who haved served more than two terms:
Paul Ryan, Michele Bachmann, Jeff Sessions, Jim DeMint, John Barasso, Joe Wilson, Mike Pence, and Marsh Blackburn, to name a few.
We’d lose those stalwarts. And non-elected staffers would have far more power than they do today.
Representatives (because they have such short terms) could probably have more - it would have to be four (eight years) in order to keep the staggered effect.
But then they should simply go on to something else. Run for governor, for Senator, or just go back to whatever they did before becoming politicians.