Chris Wood made a stunning start to his Clarets' Premier League career with a dramatic late equaliser to continue Tottenham’s Wembley jinx and earn Burnley a precious point.
Spurs thought they had secured only a third win in 12 games at their temporary home thanks to Dele Alli’s goal early in the second half.
But battling Burnley refused to accept a first away defeat and new signing Wood marked his first taste of top-flight football with the Clarets with a clinically-taken equaliser two minutes into added time.
The former Leeds United striker came off the bench after Burnley had gone behind and showed beyond doubt that he will score goals at this level by coolly converting a Robbie Brady through-ball to send the Clarets into the international break on a high.
With Jeff Hendrick ruled out with a thigh problem, Dyche was forced to deviate from the side that had started the first two league games of the season.
Scott Arfield got the nod to start as the link man between the midfield and lone striker Sam Vokes, who put in a colossal shift as the outlet for the Clarets on an energy-sapping afternoon.
Despite the stifling conditions, Dyche’s side worked tirelessly to give nothing away against a Tottenham side which had found winning so difficult away from more familiar surroundings of their White Hart Lane base.
The Londoners had lost seven of their last nine games at Wembley and Burnley were determined not to let them improve that record easily, defending with great discipline throughout a first half which also brought moments of encouragement at the other end.
In a bright start from the visitors as they looked to follow up their opening-day win at Chelsea, Robbie Brady almost caught out Hugo Lloris with a curling cross which would have sneaked into the top corner but for the Tottenham keeper’s late intervention.
Brady’s delivery from set-pieces also carried a threat, as James Tarkowski twice headed narrowly off target from corners.
Despite plenty of possession, Tottenham were largely kept at arm’s length as Harry Kane’s record of never having scored a goal in August was extended.
The England international headed over from a Ben Davies’ free-kick and then, from the best chance of the first half, saw his close-range effort blocked by Tarkowski after shooting on the turn from a Davies cross seven minutes before the break.
But Tottenham’s pressure had been mounting and after forcing Burnley back in the opening stages of the second half, forced the opening goal with four minutes gone.
The Clarets will be frustrated they couldn’t clear a corner from Davies as the ball arrived awkwardly at the feet of Ben Mee and after Alli’s initial shot had been blocked, the England man collected the rebound and slotted home his second goal of the season from six yards out.
Spurs’ movement and options on the ball made it a real concentration test for the Clarets and when Kane found space shortly after Alli’s strike, last season’s Premier League golden boot winner wastefully steered an effort wide.
And Dyche wasted little time in making a double change to bring on fresh legs in the shape of Ashley Barnes and Wood to try and get the Clarets going forward again in a switch to 4-4-2.
Almost immediately there was a half-chance for Burnley as Mee headed the ball down for Stephen Ward to volley over the top after Steven Defour had kept a corner alive.
And the Clarets then enjoyed their best spell of the game as they forced Spurs onto the back foot.
Brady went close to an equaliser with 20 minutes to go when he benefited from another driving Arfield run to let fly with a right-foot shot which was top-corner bound until Lloris made a fine save diving to his left.
That was matched moments later at the other end as Tom Heaton got down superbly to keep out an effort from international team-mate Kane, just hours before meeting up again at England’s St George’s Park base ahead of the country’s up-coming World Cup qualifiers.
The Clarets’ captain then made sure as he tipped over a rising effort from Christian Eriksen as Tottenham sensed the need to try and kill the game off.
Kane had another chance after staying on his feet under a chalnge in the penalty area from Tarkowski but again Heaton got in his way with another vital block.
And the Clarets’ number-one then grabbed an effort from Alli to keep his side in the hunt and with the hope that one more chance would come their way.
That looked as though it had come and gone when Wood could only steer a Stephen Ward cross wide at full stretch and Barnes was unable to get enough on a header from another Brady cross.
But the Clarets kept going superbly to the end and still had time to gain a fitting reward for their efforts when the excellent Brady magnificently picked out Wood to side-foot home a first-time effort from 12 yards and make himself an instant Burnley hero.
Burnley: Heaton, Lowton, Tarkowski, Mee, Ward, Cork, Defour (Westwood 80), Gudmundsson (Wood 57), Brady, Arfield, Vokes (Barnes 57). Substitutes: Pope, Taylor, Bardsley, Long.
Tottenham: Lloris, Trippier, Alderweireld, Vertonghen, Davies, Dier, Dembele (Sanchez 90), Alli, Eriksen (Winks 88), Son (Sissoko 70), Kane. Substitutes: Vorm, Janssen, Walker-Peters, Oakley-Boothe.
Referee: Lee Mason