Kuyt, bristling with confidence after breaking his English duck in midweek, lashed in the second 10 minutes later and John Arne Riise showed no ill effects of the knee injury that kept him out since the opening day - save for 12 minutes in the derby defeat - as he swung his leg to score a last-minute stunner.
So six points in four days suggests the team, and the season in general, is starting to take shape.
But before anyone gets carried away it's worth remembering that games like these don't necessarily give the best indication of a team's championship credentials.
That's because this is becoming a poor and predictable Premiership, which Chelsea once again rose to the top of on Saturday night. Say no more.
Tottenham finished fifth last season and they and Newcastle, who were brushed aside with similar ease on Wednesday, are two clubs that should be making a half-decent fist of trying to snap the stranglehold the so-called 'big four' have on the Champions League places.
But they're having none of that this time round if the limitations that were exposed at Anfield this week are anything to go by.
This should have been a tricky game for Liverpool. Martin Jol sprung a surprise by playing Robbie Keane and Jermain Defoe up front; Benitez matched him by leaving Jamie Carragher on the bench.
Sami Hyypia and Daniel Agger looked to be in for unappetising lunchtime given the pace, movement and trickery that the Spurs duo are capable of at ground level.
But Tottenham have forgotten how to score, having only done so in one Premiership game this season.
And at times they seem to have lost the confidence to attack altogether given the amount of promising moves that ended up creeping backwards, often back into their own half.
Edgar Davids injected some urgency into things as he immediately tore down the left to create Jenas's sitter. But one effort from Jenas in the first half, skied horribly and lazily off target after he was sent free on right by Keane's vision, was far more in keeping with the lack of imagination currently plaguing Spurs in the final third.
The nimble work of returning Danny Murphy and Didier Zokora hinted at a threat but Tottenham, like Newcastle before them, barely justified the tag 'opponents' in an attacking sense.
Even when they did produce a clear sight of goal, Ledley King failed to even make contact with his head, when any kind of touch would surely have given his side the lead from Murphy's free-kick.
