Connecticut, like New Jersey, requires reappointment to the state high court after an initial term.
More on that from at Ballotpedia:
There are seven justices on the Connecticut Supreme Court, nine judges on the Connecticut Appellate Court and 170 judges on the Connecticut Superior Court. These judges are selected by a commission-selection, political appointment method whereby a judicial nominating commission screens candidates and submits a list of names to the governor, who must appoint a judge from that list. The appointee must then be confirmed by the Connecticut General Assembly.
Judges of all three courts serve for eight years after their appointment, at which time they face renomination by the governor and approval by the assembly. Connecticut is relatively unique in that appointees’ initial terms are no shorter than their subsequent ones.
Nevertheless, 44 Republicans and 2 Democrats voted against reappointment.
[Justice Richard Palmer] generated increased scrutiny because he voted in majority opinions in favor of controversial rulings that legalized gay marriage, abolished the death penalty, and allowed residential property to be seized for commercial purposes under eminent domain. Some legislators said that they, not the judges, should be creating the laws of the state.