The Blues won 1-0 thanks to Joao Pedro's strike with Spurs struggling to create any threat for Chelsea's defence on the night.
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At the final whistle, Spence and Van de Ven were seen ignoring manager Frank as he sought them both out, with Van de Ven also refusing to acknowledge coach Andreas Georgson as he went down the players' race.
The reaction from Tottenham supporters has been furious.
Spurs fan and streamer Chris Cowlin caught the moment on camera: