Son Heung-min opened scoring through a superb shot for Spurs from close range in the 36th minute after connecting with Dele Alli's pass.
The goal was to put the wind on Arsenal sails, but Unai Emery's men lacked consistency and consistency, allowing Southampton to break repeatedly. "There was not too many mistakes but the goal they scored was good".
West Ham's defensive frailties came to the fore once again four minutes into the second half when Serge Aurier's cross picked out Harry Kane, who was given an easy ride by Issa Diop as he sent a header past Roberto's outstretched hand.
The Premier League leaders went in front at Selhurst Park in the 49th minute through Sadio Mane, but there would be late drama to follow.
The Citizens will have fond memories of this fixture last season as they ran out 6-0 winners, with Sergio Aguero starring with a hat-trick. We have to make sure our defending around the penalty box is very good.
Liverpool FC were 3-1 winners against defending Premier League champions Manchester City in their last Premier League outing before the worldwide break.
But Kevin De Bruyne and Riyad Mahrez struck before half-time to give the hosts the lead and, despite Raheem Sterling having a late strike ruled out by VAR, City held on to deny Chelsea a club record of eight straight victories away from home in all competitions.
Arsenal responded through French global Alexandre Lacazette who netted the equaliser on 18 minutes.
If they can win those four league games, they will put themselves in a fantastic position as they set a pace at the top of the table that is tough for the rest to live with.
Southampton were given a penalty after a foul by Arsenal defender Kieran Tierney.
Burnley won 3-0 for the second consecutive game in the second half with beatings Chris Wall, Ashley Barnes and James Tarkovsky winning the bottom of Watford, lifting the Clarets to the Clarets.