Spurs were flattered by the margin of victory.
"I am concerned, until he has a scan tomorrow we can not say nothing more", Pochettino said. "We need to, in the next week, manage him". But I hope and we hope it's not a massive issue. "That is my wish".
Junior Stanislas opened the Cherries' account in the seventh minute with a clinical left-footed finish into the bottom corner.
And much worse was to come for the visitors when Kane failed to return as he limped away to protect the same right ankle that saw him spend two short spells on the sidelines last season.
In the 62 minute, Tottenham did take the lead when Dele Alli sent a precise lofted cross into the box which Heung-Min Son controlled with superb skill before firing past the keeper from just inside the box, 2-1.
The sides entered the tunnel at half-time all-square. We concede the first goal, but I think the team was better than Bournemouth, and the attitude was great. The goalkeeper would deny Son a hat trick a minute later. Serge Aurier then headed in a fourth in stoppage time.
Pierre-Emerick Aubameyang of Arsenal and Adrian Mariappa of Watford in action during their Premier League match at Emirates Stadium.
That was a sweet moment for the home fans, as Deeney had questioned Arsenal's heart when the Hornets won the corresponding fixture in October.
Howe said: "The only part I was disappointed with was the end of the game".
"It's an unbelievable personal milestone obviously", Cech, 35, said. He is not only Tottenham's most important players but an exceptionally consistent one who is in the running for the player-of-the-year award.