A last-minute try from Peter Horne sent Northampton crashing out of the Heineken Cup at the Pool stages as Glasgow won 27-20 on Saturday.
Glasgow headed into the clash having tasted defeat the hands of Ulster a week earlier, while Northampton were chasing a third consecutive win following victories over Exeter and Castres.
A brace of penalties of Ruaridh Jackson gave the Scottish outfit an early six-point lead, though the visitors struck back quickly through Stephen Myler's own three-pointer.
The Saints then took the lead ten minutes before half-time when the TMO adjudged a try for Dominic Waldouck following a spell of intense pressure from the visitors.
It took just six second-half minutes for Glasgow to find their way back into the contest, however, when Josh Strauss showed great strength to drive over for a try. Scott Wight converted to make it 13-10 to the hosts, though ten minutes later Glasgow were again behind when George Pisi crossed for an unconverted try.
The ding-dong battle continued into the final quarter of the match, with Niko Matawalu putting the Warriors back in front when he intercepted on half-way before racing clear for a try, converted by Wight.
But Foden crashed over on 71 minutes to level the scores and, crucially, the conversion was missed, setting the scene for Horne to brush off three would-be tacklers in the final minutes to snatch victory for Glasgow.
Horne's own conversion sparked jubilant scenes following a heart-stopping encounter at Scotstoun, and this time, the final whistle sounded before the Saints could find a response.
Tries: Strauss, Matawalu, Horne
Con: Wight 2, Horne
Pen: Jackson 2
Tries: Waldouck, Pisi, Foden
Yellow card: Waller (79 mins)
Glasgow: 15 Stuart Hogg, 14 Tommy Seymour, 13 Byron McGuigan, 12 Graeme Morrison, 11 Sean Maitland, 10 Ruaridh Jackson, 9 Niko Matawalu, 8 Ryan Wilson, 7 James Eddie, 6 Josh Strauss, 5 Al Kellock (capt), 4 Tim Swinson, 3 Moray Low, 2 Pat MacArthur, 1 Gordon Reid.
Replacements: 16 Doug Hall, 17 Ryan Grant, 18 N/A, 19 Tom Ryder, 20 Alex Dunbar, 21 Sean Kennedy, 22 Scott Wight, 23 Peter Horne.
Northampton: 15 Ben Foden, 14 James Wilson, 13 George Pisi, 12 Dom Waldouck, 11 Jamie Elliott, 10 Steve Myler, 9 Lee Dickson, 8 Phil Dowson, 7 Tom Wood, 6 Calum Clark, 5 Courtney Lawes, 4 Samu Manoa, 3 Paul Doran-Jones, 2 Dylan Hartley, 1 Soane Tonga'uiha.
Replacements: 16 Mikey Haywood, 17 Alex Waller, 18 Tom Mercey, 19 Mark Sorenson, 20 Rhys Oakley, 21 Martin Roberts, 22 Ryan Lamb, 23 Tom May.
Referee: Leighton Hodges (Wales)
Assistant referees: Gwynn Morris Wayne Davies (Wales)
Television match official: Huw Lewis (Wales)