Striker Mohamed Salah scored his 100th Premier League goal for Liverpool, but the new league leaders were held to a draw by Brentford as the two sides played out a 3-3 thriller on Sunday morning (NZ time).
Both sides had efforts cleared off the line in a lively opening, before Ethan Pinnock gave Brentford the lead, stabbing the ball home at the back post after a clever free-kick routine caught the Liverpool defence flat-footed in the 27th minute.
That lead was short-lived as Diogo Jota headed home Jordan Henderson's cross to put the Reds level four minutes later, and Salah put his side in front in the 54th with his 100th goal in 151 league appearances for Liverpool.
The Bees refused to give up, levelling in the 63rd minute when defender Pontus Jansson swivelled in the box and hit the crossbar, before Vitaly Janelt reacted quickest to head home the rebound.
Curtis Jones put Liverpool back in front four minutes later, cutting in from the left and unleashing a rocket that took a slight deflection before flying into the net, but Brentford snatched a dramatic equaliser through substitute Yoane Wissa in the 82nd minute.
The win sees Liverpool climb to 14 points after six games, one ahead of Manchester City, who beat Chelsea 1-0 at Stamford Bridge earlier in the day.
Brentford move up to ninth on nine points.
Earlier, Manchester United lost for the first time this season thanks to an 88th minute Old Trafford winner to Aston Villa's Kortney House.