Sounds like Sen. Lieberman may be leaning toward endorsing the Republican again for President:

foxnews.com

“I’m going to approach this 2012 election as the independent that I am and therefore I don’t know who I’m going to support at this point,” Lieberman said Wednesday.

He suggested one of his tests will be to gauge whether the candidates believe, as he does, that America should “remain strong and involved” around the world. “In both parties there are groups that would try to pull us back,” he said.

But he praised Perry, the Texas governor who officially jumped in the race for the GOP nomination Saturday, for “his willingness to not be coy about America’s role as a world leader.”

…

“First impressions are important. He’s made, to me, some very good first impressions,” Lieberman said, adding: “It’s the beginning of a long trail, and we’ll see how it goes.”

The senator told Fox News on Tuesday night that he wants to see who the Republicans nominate before making an endorsement decision.

There was also this today:

thehill.com

The Obama administration’s fear of offending Muslims will hurt the U.S. war against terrorism, Sen. Joe Lieberman (I-Conn.) said Thursday in a speech blasting the president’s new counterterrorism strategy.

Lieberman said that Obama’s strategy, which was released in June, “was ultimately a big disappointment,” and while it successfully identified the core of the domestic radicalization problem, it did not establish a clear plan of attack to deal with the growing issue.

The four-term senator and one-time presidential candidate said one of the key problems with the Obama administration’s strategy was that it continues to call terrorism that aims to harm the U.S., “violent extremism” instead of “violent Islamist extremism.”

“The administration still refuses to call our enemy in this war by its proper name: violent Islamist extremism,” Lieberman said, speaking at a National Press Club event hosted by the National Consortium for the Study of Terrorism and Responses to Terrorism (START).

“To call our enemy ‘violent extremism’ is so general and vague that it ultimately has no meaning. The other term used sometimes is Al Qaeda and its allies. Now that’s better but it is still too narrow and focuses us on groups as opposed to what I would call an ideology, which is what we’re really fighting.”