In August 1927, shortly before his 24th birthday, he joined Southampton, then in the Second Division. He made a "spectacular" first-team debut came on 21 January 1928, when he scored twice from the right-wing in a 5–1 home victory over Notts County. He retained his place for the next two matches, before Bill Henderson returned from injury. Later in the season, Luckett made three appearances at outside-left, replacing the injured Stan Cribb. In the next season, Luckett's first-team chances were restricted by the form of Stan Woodhouse at left-half, and his five appearances came in four different positions as the "Saints" had their best season since joining the Second Division in 1922, finishing fourth in the table. In 1929–30, Luckett made 12 appearances, generally standing in for Woodhouse, who was beginning to suffer from injury at frequent intervals. For the early part of the 1930–31 season, Luckett made only a handful of appearances, before injury to Woodhouse again earned Luckett a recall at left-half. Described as "not a particularly skilful player had a voracious appetite for work", Luckett "would chase around the pitch like a terrier". He now began to make the left-half position his own, eventually forcing manager George Kay to switch Woodhouse to the right. Luckett was "ever-present" in 1932–33, playing at left-half until mid-February, before being pushed forward to outside-left to replace Johnny Arnold who had been transferred to Fulham along with Michael Keeping. Luckett scored five goals from the left-wing, including two in a 3–1 victory over Burnley on 15 April. Luckett missed the start of the 1933–34 season and with Woodhouse back at left-half, he replaced Fred Tully at outside-left, before Tully returned in December. Luckett eventually regained his place at left-half in early March. With age now catching up on Woodhouse, Luckett retained the No. 6 shirt for 1934–35 only missing four matches as the Saints struggled both on and off the pitch, finishing only two places above the relegation zone and needing two borrow £200 from the Supporters Club to help finance the summer wage bill. Luckett made 18 appearances at the start of the 1935–36 season, before an ankle injury put him out for several months, with Woodhouse once again replacing him. After two attempts at a return to first-team action, Luckett retired in the summer of 1937, having made 219 appearances over ten years, scoring 10 goals.