Connecticut - State law requires all handgun buyers to first obtain a pistol permit or eligibility certificate, which can take up to 90 days.
There is a 14-day waiting period and background check for buyers of rifles and shotguns, but only if purchased from a licensed gun dealer, and only unless the buyer does not have a pistol permit, eligibility certificate, or hunting license.
There is no waiting period on the "private" sale or rifles and shotguns.