A goalless opening 45 minutes saw both teams create plenty of chances but fail to really test Simon Mignolet and Willy Caballero at either end.
Daniel Sturridge eventually broke the deadlock in the 58th minute, though, with a smart finish to make up for his open-goal miss minutes earlier.
Chelsea looked like they were out of answers as time wore on but with 11 minutes remaining Emerson prodded home from a free-kick to make it 1-1.
A penalty shoot-out then seemed to be on the cards until a moment of magic from Eden Hazard sealed victory for the away side.
In the 85th minute, Hazard breezed past not one, not two, but three Liverpool players on two occasions before smashing a winner past Mignolet, who had no chance.
It was a goal worthy of victory and sure enough Chelsea held on, with Jurgen Klopp’s men visibly frustrated with themselves.
HAZARD STEALS THE SHOW
One man who had a nightmare at Anfield was Jordan Henderson. Liverpool’s captain only played 30 minutes but was terrorised by Hazard.
And there was one moment in the 87th minute where he completely lost his head after giving a foul away against the Belgian with Chelsea leading 2-1.
In the video below, when the referee awards a free-kick on the egde of Liverpool’s box, Henderson turns around to Hazard on the floor and screams at him.
Henderson calling Hazard a pussy hahaha pic.twitter.com/ef8caePt0i
— Chris (@erm_chris) September 26, 2018