Conn. Gen. Stat. § 5-184: Credit for service with county or county agricultural extension office.

Any full-time state employee and any appointee of the General Assembly or either branch thereof, or of any officer or committee thereof, who served previously as a county employee or in a clerical capacity in a county agricultural extension office when such service was sponsored by the county farm bureau or county agricultural extension council and for which service he is not eligible to receive credit under any other section of this chapter shall be credited with the period or periods of such service, provided he shall pay to the retirement fund for each month of such service a sum equal to five per cent of the average of his last twelve months' salary as a county employee or a county agricultural extension office employee multiplied by the whole number of months of such service with interest at five per cent per annum from July 1, 1961, to the date of payment.