No judge, except a judge of probate, shall hold the office of constable.
Conn. Gen. Stat. § 7-87
(1949 Rev., S. 605; 1953, S. 243d; P.A. 82-11, S. 10, 12.)
See Sec. 29-154c re prohibition against licensure of constable as private detective, watchman, security guard, etc.