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They shall in all Cases, except Treason, Felony and Breach of the Peace, be privileged from Arrest during their Attendance at the Session of their respective Houses, and in going to and returning from the same; and for any Speech or Debate in either House, they shall not be questioned in any other Place
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Consequently, under Supreme Court precedent, the privilege from arrest applies only to civil cases.10 As one commentator has noted: "In practice, since the abolition of imprisonment for debt, this particular clause has lost most of its importance."
While the privilege prevents Members from being arrested in civil suits, it does not prevent them from being served with subpoenas. In United States v. Cooper, Thomas Cooper, a newspaper publisher, was indicted under the Sedition Act of 1798 for libeling President John Adams. Cooper sought to compel several members of Congress to testify as witnesses at his trial. In allowing Cooper to subpoena Members of Congress, Justice Samuel Chase, in a Circuit Court decision, stated: "I do not know of any privilege to exempt members of congress from the service, or the obligations of a subpoena . . . ."
Over a hundred years later, Justice Louis Brandeis reached a similar conclusion in Long v. Ansell, holding that the privilege from arrest was limited to arrests in civil cases and did not encompass service of process. Writing for the Court, Justice Brandeis stated: "History confirms the conclusion that the immunity is limited to arrest."
https://constitution.congress.gov/browse/essay/artI-S6-C1-2/ALDE_00013354/