Lee Drutman, senior fellow at New America and co-director of the Legislative Branch Capacity Working Group, certainly thinks so. He writes in a recent Vox column:
In one recent survey, 75 percent of Americans said they supported term limits, including 65 percent of Democrats.
For that reason, it's worth spending a few minutes on this point, because it does get to a fundamental problem with how the public views Washington. There is a perennial myth that the problem with Washington is that the longer people spend there, the more corrupt they become. Therefore, the only way to ensure good judgment in politics is to constantly have a bunch of fresh-faced lawmakers who are total rookies and don't understand how anything in Washington works.
Since 15 states do have term limits, we actually can know something about their effects. And the political science literature here is pretty unequivocal. Term limits are the surest way to weaken the legislative branch and empower the executive branch. Term limits are also a great way to empower special interests and lobbyists. Basically, what term limits do is shift power toward those who are there for the long haul.