The Republican chairman of the House Homeland Security Committee says Hillary Clinton or anyone else who has exhibited "extreme carelessness" when it comes to handling classified information should be stripped of their security clearance, and has introduced legislation to force that change.

The bill from Rep. Michael McCaul, R-Texas, was released just days after the FBI said on July 5 that it wouldn't recommend criminal charges against Clinton, even though she and her team were "extremely careless" when it came to handling classified information on her private email server.

The FBI's decision outraged Republicans, who are still in the process of considering ways to punish Clinton. That could include pushing for a special prosecutor.

"With no indictment occurring, a discussion, or a call for administrative action, is the least we can do, given how she was so reckless in handling classified material and sending classified information on an unsecured server," said House Speaker Paul Ryan, R-Wis.

Former New York Mayor Rudy Giuliani added last week that while the FBI said Clinton's actions were only careless and didn't rise to the more serious standard of "gross negligence," the law defines gross negligence as extreme carelessness.

McCaul's bill could be part of a possible legislative response to the FBI's failure to take any action. As of Monday morning, McCaul's office had not put out a statement on the bill introduced Friday.

But a brief description accompanying the bill makes it clear it's aimed at the Clinton scandal. That description says the bill would "prohibit any officer or employee of the federal government who has exercised extreme carelessness in the handling of classified information from being granted or retaining a security clearance."