Spurs defeated Arsenal 1-0 thanks to Heung-min Son's winner.
But the edgy affair boiled over as Hojbjerg tried to keep the ball in play close to the manager's technical area.
The pair exchanged words as fans watched on.
The Danish midfielder tried to prevent the ball from going out of play, almost cleaning Arteta out in the process.
The pair exchanged some words before Hojbjerg walked back over towards Arteta and told him to get back inside his technical area.
Arteta reacted by signalling to Hojbjerg to shush before Granit Xhaka strolled over to keep the peace.
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