Roberto Firmino's last-minute header broke Tottenham's stubborn resistance at Anfield and sent Liverpool to the top of the Premier League table.
An entertaining encounter looked set to end in stalemate before - with the game entering stoppage time - Firmino soared to flash a header high past Spurs keeper Hugo Lloris from Andrew Robertson's corner.
Liverpool flew at Spurs in the opening exchanges and went ahead when Mohamed Salah's shot took a big deflection off Eric Dier and looped over Lloris.
Spurs had barely left their own half but struck with a counter punch seven minutes later when Son Heung-min raced clear to slip a composed finish past Alisson.
Spurs actually had the better chances in the second half, with Steven Bergwijn firing wide then hitting a post when clean through and Harry Kane heading over from point-blank range.
Manager Jose Mourinho was left to regret those missed opportunities as a late Liverpool surge ended with Firmino's winner to send the defending champions three points clear at the top of the table.
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