The Reds moved up to second place in the Premier League as they convincingly beat Tony Pulis' team with Sadio Mane and Philippe Coutinho getting on the scoresheet.
A late strike from Gareth McAuley set up the possibility of a nervous finish for the hosts, but they defended admirably across the remainder of the contest to claim a deserved three points.
And Clyne was pleased with what he saw from Jürgen Klopp's side at Anfield, despite a second-half showing that in his view was not as sparkling as the first 45 minutes.
"It was a very professional performance, we knew what we had to do out there to get the three points," he told Liverpoolfc.