Rep. Paul Ryan

The Ohio congressman and Freedom Caucus member announced Thursday that he will challenge the expected bid by Majority Leader Kevin McCarthy, who is current speaker Paul Ryan's hand-picked successor.

Republicans who have pledged to repeal Obamacare also said they would halt the taxes Democrats used to pay for it. Without the money, Republicans won't have nearly as much to spend on an alternative.

The lack of specifics on health care from the president-elect means a plan released in June by House Speaker Paul Ryan is the best outline of what the GOP would like to replace Obamacare.

Even with their best opportunities to gain seats in years, Democrats so far have only picked up deep blue Illinois. They narrowly hung on in Nevada, which was Republicans' only offensive opportunity.

As House Speaker Paul Ryan tried to move on with regular business, the chamber erupted into chaos, with Democrats demanding action on gun control.