We analyse all tweets of the remain and leave campaigns to track linguistic changes of the debate over time and to train a Naïve Bayes classifier. By applying this machine learning algorithm, we find increasing approval for the remain side from the media and a further divergence on the Brexit topic between different politicians and groups of politicians after the General Election in July 2017. A particularly alternating position on Brexit can be identified for Jeremy Corbyn, the leader of the Labour Party.