A howler from Fabianski gifted Chelsea the lead once more when the Swans keeper allowed a Pedro shot to squirm under his hands before Diego Costa wrapped-up the win with a third late on.
Antonio Conte's men didn't settle for a one goal lead though, and kept going and going right after the ball got back into the play.
When Clement took over Swansea were rooted to the foot of the table, four points from safety. But Swansea went into the break levelled, after Fernando Llorent powered in a header past Thibaut Courtois.
'The formation is exploiting his characteristics better than before, ' he said.
"We can't say all 19 because we have already lost to Liverpool, but we have to win 16 to 17 because it is our place and we are ready to deliver".
Chelsea began the second half on fire with Lukasz Fabianski needing to be at his acrobatic best to deny Eden Hazard before Fabregas hit the crossbar.
But Craig Dawson equalised in the 10th minute with a deflected long range effort before Gareth McAuley's close-range finish won it in the 22nd minute.
Punters, therefore, are advised to snap up the juicy 5/4 (2.25) quote for more than three goals to be scored when Chelsea face Swansea City; a selection that would have seen punters profit from four of the last five fixtures between the two teams. All things considered things started to look very much like in the game against Burnley two weeks ago - the weather, our attacking play, opposition's defensive play.
So can they catch Chelsea?
Chelsea didn't mind and got even more exhilarated from the call, and Pedro soon found the net for Chelsea's second goal of the game!
Swansea, infuriated at the non-award of a penalty after César Azpilicueta's handball early in the second half, are three points clear of the relegation zone but will benefit from Llorente's influence over the remainder of the campaign after successfully keeping him out of Chelsea's clutches in January. And I think we learnt a lot. Above all I think we deserve to stay there at the moment.
Pedro was then subbed for Nemanja Matic as Paul Clement then replaced Tom Carroll for Jordan Ayew. Having rescued Chelsea on numerous occasions last season with important goals, you would have thought Willian would be a guaranteed starter.
Chelsea manager Antonio Conte does not believe a Premier League title win is a foregone conclusion after their 3-1 defeat of Swansea City.
His equaliser nine minutes from time completed a brace and rallied Chelsea to a 2-2 draw at Liberty Stadium on September 11.