Term limits are supported by a large majority of America. They are opposed primarily by incumbent politicians and the special interest groups which depend on them.
Term limits would improve many of America's most serious political problems by evening out the incumbent advantages, ensuring congressional turnover, securing independent congressional judgment, and reducing election-related incentives for wasteful government spending.
Perhaps most important, Congress would gain a sense of its own fragility and temporariness, possibly even coming to acquire more legitimacy as an institution.