Conn. Gen. Stat. § 14-325: Curb pumps.

No license shall be issued to sell gasoline or other fuels by means of any curb pump, or of any pipe or hose extending over or under any sidewalk, except the renewal of the license of such curb pump, pipe or hose, if the same was licensed for the sale of gasoline or other fuels on June 1, 1935, and has been continuously licensed for such purpose at such location since that date; and except that any such license may be transferred or devised by a holder thereof to his child or spouse.