The 21-year-old decided to leave Crystal Palace for Southampton in the summer as he expected he would get more game time with the Saints.
“I had run out of contract at Palace and there were talks with a few clubs who were looking at me like United,” said Clyne, quoted in The Sun.
“I knew if I came to Southampton I would get a lot of game time.
“It is an up-and-coming club and they have a project here. They do not just want to sit with what they have, they want to push forward for European football.
“Our aim is to stay in the league this year but go on after that.
“Southampton is a very professional club and they work hard on every aspect of the game. I am already enjoying my time here.”