This new poll from SurveyUSA shows Lieberman's approval ratings holding steady at Kind of Lousy. 50% of Democrats approve of him, as do 55% of moderates.
Republicans, however, like him better than anyone. 65% of Republicans approved of the job Lieberman is doing. 65% of self-identifying conservatives approved, as well.
That's his highest approval rating among any group polled. Fifteen percentage points separate GOP approval from that of his own party.
Compare that with Chris Dodd's, directly above.
Results of SurveyUSA News Poll #9742. Approval Ratings for all 50 U.S. Senators. Poll. SurveyUSA. 25 July, 2006.