On 6 December 2018, Lloyd resigned the Liberal Democrat whip, saying that his party's position on Brexit was inconsistent with his pledge to his constituency that he would "respect the result" of the 2016 EU referendum. Until 29 October 2019, Lloyd sat in the House of Commons as an Independent, remaining a member of the Liberal Democrat party, but had the whip restored following the announcement of the general election, and the 'clean-slate' opportunity to be on the ballot paper as a committed remainer.