Boaz Myhill's wonder show kept us at bay as it finished goalless against Hull City at White Hart Lane on Saturday.
Myhill was inspired and made a double save in each half to first deny Wilson Palacios and Robbie Keane and then Luka Modric and Keane.
Add to that top-drawer saves from Jermain Defoe, Modric again and Peter Crouch and you have the sole reason why we failed to add another three points to our tally in the Barclays Premier League.
Harry Redknapp made just one change from the 4-0 win against Peterborough in the FA Cup a fortnight ago with Vedran Corluka back in the side for injured Alan Hutton.
Hull's starting XI was full of attacking talent - the likes of Craig Fagan, Geovanni, Nicky Barmby, Stephen Hunt and Richard Garcia - and the Tigers lined-up in what appeared to be a 4-1-3-1-1 formation with George Boateng protecting the back four and Fagan the lone striker, Barmby playing just off him.
The first 30 minutes of the first half were frustrating as Hull made it difficult for us to get into our stride.
It was stop-start, scrappy and chances were few and far between - Modric's effort was blocked, Niko Kranjcar fired over and at the other end, Garcia headed tamely wide.
However, Barmby's booking for timewasting lifted the crowd and the team responded.
Tom Huddlestone, breaking from deep, almost got on the end of Keane's flick and then the first real action and the first double save from Myhill.
Palacios initially let fly from the right corner of the box, a low effort that Myhill did well to parry diving to his right, but the second save was even better as Keane's follow-up headed towards the roof of the net, Myhill picked himself up and threw himself to his right to tip over.
Kranjcar angled a couple of yards wide in the 43rd minute and then the best chance of the half. With the clock ticking into the last few seconds of four minutes of added time Modric, in space centrally, picked out Defoe but the striker couldn't plant his one-on-one effort past Myhill, who was out quickly to deflect wide.
We were straight on the front foot in the second half. Appeals went up for an early penalty when Paul McShane appeared to handle Gareth Bale's volley before another double save from Myhill in the 54th minute.
This time the keeper did well to initially parry Modric's shot from 20 yards but Keane was straight onto the loose ball and seemed destined to score - Myhill threw himself at the ball and managed to block from inside the six-yard box.
Jermaine Jenas entered the fray for Palacios 10 minutes into the half but Hull had the next two chances - both falling to Barmby. The former Spur drove the first into the side-netting when well placed before being denied by a typical block from Michael Dawson.
Peter Crouch entered the fray after 62 minutes and was involved in our next chance after 73 minutes when he headed Jenas' cross back across goal for Modric, whose stooping header was taken by Myhill.
If that was a comfortable save, the keeper was back to his very best five minutes later when Corluka's cross was cleared to Modric on the edge of the area. Modric hammered a left-foot drive towards the top corner but Myhill was there again to tip over.
Shouts went up again for penalty when Kamil Zayatte blocked a fierce Kranjcar drive and Modric fired a yard wide after 84 minutes. Still, that elusive goal wouldn't come.
Crouch was next to try. Kranjcar clipped in a free-kick, Crouch lost his marker and planted his header towards goal from eight yards - Myhill was there again with a reaction block and the ball was cleared.
Six minutes of added time offered more hope. There was another penalty appeal as Anthony Gardner appeared to haul down Crouch, not given, then the final chance as Crouch was sent clear by Jenas only for Myhill to save again at his near post. It was his day.
Spurs: Gomes; Corluka, Bassong, Dawson, Bale; Modric, Huddlestone, Palacios (Jenas, 55), Kranjcar; Keane (Crouch, 62), Defoe. Unused subs: Alnwick, Naughton, Bentley, Rose, Pavlyuchenko.
Hull City: Myhill; McShane, Zayatte, Gardner, Dawson; Boateng; Garcia (Mouyokolo, 82), Geovanni (Vennegoor of Hesselink 74), Hunt; Barmby (Kilbane, 65); Fagan. Unused subs: Duke, Mendy, Ghilas, Cairney.