For purposes of determining eligibility for retirement under §§ 8-3-7 and 8-3-8, the years of service of any person who has served as an associate judge of the juvenile court prior to September 1, 1961, or who has served as a judge or clerk of a district court as constituted prior to September 15, 1969, or a judge of the workers’ compensation court, shall be included as if the service had been on the court to which the person may have been subsequently appointed.