People who lose elections always bring up term limits.
I think there is a certain truth in that, although for someone in Congress to introduce a constitutional amendment for term limits, those persons have to have actually won and be in office, such as Cruz and Rooney. Perhaps the ultimate losers who introduced term limits were the Confederate States of America. Long before the U. S. thought of limiting the term of the President, their Constitution limited the President of the Confederate States to a single six-year term (in the U.S. it was unlimited at that time). Perhaps they got the idea from Jefferson, who argued at one time for a single seven-year term for the President. I don't recall that they limited the Congress, though.
They're already limited. Every four or six years the people decide if they still want such and such as a representative. Term limits don't limit the politicians. They limit us.
Term limits do limit the politicians; they are limited from running again. But, yes, they do also limit us, the voters -- that is, limit our choices. But as a general principle I don't see that as a strong argument against term limits. We have any number of laws/regulations that limit who can run, thus limiting the voter from making certain choices he or she might otherwise make. No doubt these vary by state, but here in our state one must be a citizen, must be 18 years of age, cannot be mentally incapacitated, cannot be a felon, must live in the state/precinct where running, must be registered to vote, has to apply for a place on the ballot, and probably some others. In the case of the President the age limit is raised to 35, and we have placed term limits on that office. So, as I see it, laws that limit the voter are not something we have rejected out of hand. Then, it becomes a question of whether term limits on offices in Congress have more pros than cons.
Possibly one of the greater possible "cons" is that the rate of turnover might increase the power to bureaucrats and lobbyists. On the positive side term limits could prevent politicians from garnering too much power, making politics their career while spending much of their time raising money for re-election and voting in such a way that helps insure their re-election.
All of the arguments are probably academic. Term limits didn't happen in the so-called Contract With America, and it is unlikely that a bunch of career politicians will ever limit how long they can hold their jobs.