Liverpool manager Jurgen Klopp was full of praise for his players after they produced another major upset in London.
The Reds have now beaten both Arsenal and Chelsea away from home as they moved up to second place in the table.
It was Liverpool's fifth away game so far this season as they prepare for yet another away fixture at Derby County in the League Cup.
"It was very intense, very lively and very flexible," Klopp said.
"Our build-up was brilliant in the first half. Everybody could see what Chelsea wanted to do – they wanted to win the ball. But I was really happy with the style of play and the confidence.
"Actually, the problem was that we stopped somehow after around 37 [minutes]. It makes not too much sense but is normal for human beings and especially football players. We had the chance at half-time to talk about this and came back and did quite well again.
"Then it was absolutely the wrong moment in the wrong situation where we conceded a goal. We wanted to avoid situations like this, getting a counter-attack when you are 2-0 in the lead. We did it, unfortunately. It didn't look too good. I have to see the goal again but I saw three boys on their back in our box.
"That makes not too much sense. They scored a goal but we were back and really awake then again, and defended really well-organised. Everybody who saw Chelsea until now knows when they start getting really direct, it's difficult.
"We had this one free-kick in a difficult position, but all the rest was really good defending. And we had maybe the biggest chance with Divock's header – a brilliant save. Deserved [result], all good."