Conn. Gen. Stat. § 52-240: Effect of damages on costs.

(a) In any action founded on tort tried in the Superior Court, if the damages found do not exceed fifty dollars, the plaintiff shall recover no more costs than damages, subject to the provisions of this section.

(b) If the title to property, or a right-of-way, or to the use of water, is in question, or if the damages were reduced so as not to exceed fifty dollars by reason of an act of the defendant pending the action, the plaintiff shall recover full costs.

(c) Judgment for nominal damages upon a hearing after a default or a demurrer overruled shall entitle the party in whose favor damages are given to the full taxable costs of the action.