When will Clinton Resign?

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With Hillary Clinton set to be named tomorrow (10:40 EST press conference) as Secretary of State, another Senate seat opens up. But when will that happen?

Her staff isn't saying, but [Lloyd] Bentsen is the most recent sitting senator to join the Cabinet, and a likely guide. The Senate Finance Committee met and voted the nomination out on Jan. 12. Bill Clinton was sworn in on Jan. 20, and the Senate briefly convened hours later to hear Bentsen's nomination, along with those of Les Aspin and Warren Christopher.

Only then did Bentsen resign. - Politico

See here for a discussion of who might replace Clinton, and here for a look at whether Bill Clinton might get the position.