3-1-313. Sittings of court -- when private. (1) In an action for dissolution of marriage, criminal conversation, or seduction, the court may direct the trial of any issue of fact joined therein to be private and exclude all persons except the officers of the court, the parties, their witnesses, and counsel.

(2) During the examination of a witness in any cause, the court may, in its discretion, exclude some or all of the other witnesses in the cause.