Jordan Henderson scored the winning goal as Liverpool ended Antonio Conte's unbeaten record as Chelsea manager with an impressive 2-1 victory at Stamford Bridge on Friday.
In a dominant first-half display, Liverpool took the lead through Dejan Lovren before England midfielder Henderson curled home a superb effort from distance in the 36th minute.
Diego Costa reduced the arrears in the second half with his fifth goal of the campaign, but Jurgen Klopp's men held out to register another eye-catching Premier League win.
Liverpool have also beaten Arsenal and champions Leicester City this season, the only blot on their league record being a surprise 2-0 defeat at promoted Burnley.
Klopp made his intentions clear with a bold claim when Liverpool opened their new Main Stand at Anfield recently.
"We want to go to the best teams in the world and give them hell," said Klopp as his managerial mission statement - and he has made good on his promise on the domestic front at least.
It had been with a 3-1 victory on this ground that Klopp recorded his first win as Liverpool manager 11 months ago. On Friday's evidence, his team are title contenders.
Chelsea would have gone top with victory, but instead Conte tasted defeat for the first time in his fledgling tenure as his side dropped points again following last weekend's 2-2 draw at Swansea City.
It was Conte's first home league defeat since a 2-1 loss to Sampdoria with Juventus in January 2013.