Aldridge has been impressed with the contribution Liverpool's new defenders have made since their arrival at Anfield.
Clyne signed for £12.5 million from Southampton in the summer and was one of seven new arrivals at the club, with five of them managing to get some Premier League minutes under their belt, but there has been a lot of praise for fellow new signing Joe Gomez, who has been operating out of position on the opposite flank.
In his Liverpool Echo column, Aldridge said: "I think Nathaniel Clyne has been Liverpool’s best player in the opening two Premier League games. It’s great to see a full-back with that energy and that defensive ability, very little gets past him. I think he’s going to prove a fantastic buy for Liverpool.
"Joe Gomez did well against Bournemouth as well. Sometimes he looks a little bit awkward because he’s a right footer playing on the left hand side of the defence but he’s doing a good job for the team.
"As I said last week I really think Liverpool have found something special in this kid."
Clyne has been getting a lot of plaudits from Liverpool fans as the solid full-back the side needs given that has been a problem for a number of years, with Glen Johnson not showing the solidity desired. It's evident that his discipline, pace, and how comfortable he looks on the ball suggest that he will prove to be a shrewd buy.
Other signings that made an impression is James Milner in the heart of the midfield, and it is showing that he will be one of the more integral figures to the Reds while Christian Benteke demonstrated why the Reds were prepared to part with a hefty fee in order to get their man, while Roberto Firmino has only been limited to two substitute appearances.
Of course, there are two others Liverpool have yet to see in Danny Ings and Adam Bogdan who are likely to be seen after the international break when the Reds are involved in other competitions in the League Cup and Europa League.