Should the Supreme Court be term limited?

According to the US Constitution, once a person is appointed a Supreme Court justice they are appointed for life. In recent years, several proposals have been made to limit the amount of years a person is able to serve as a justice.

The powers of the Supreme Court is vested in Article III of the United States Constitution: The judicial Power of the United States, shall be vested in one supreme Court, and in such inferior Courts as the Congress may from time to time ordain and establish. The Judges, both of the supreme and inferior Courts, shall hold their Offices during good Behaviour, and shall, at stated Times, receive for their Services, a Compensation, which shall not be diminished during their Continuance in Office. Currently the only way to remove a Supreme Court justice once in office is through impeachment. In recent years, several deaths and controversial rulings called into question whether or not the current system is working.