Back in the 1990s, when about half the states’ voters slapped term limits on their state legislators, the idea was to rein in government spending and decrease the growth of government. Instead, spending per capita increased in those states relative to states without term limits. See this empirical paper, this survey article, or this book this book for details.
These results are counterintuitive insofar as we put stock in the intended mechanism, which was simple: As legislators spend more time in office, they tend to vote for more government spending – so if legislators are required by law to spend less time in office, they’ll spend less money.