Updates on this include new GDPR guidance from the Information Commissioner.
It is still unknown what deal (if any) will be struck between the UK and the EU27. However we have updated our Brexit page to reflect the current situation.
The Information Commissioner’s Office has published substantial guidance on GDPR and Brexit, including in the event of ‘no deal’, at https://ico.org.uk/for-organisations/data-protection-and-brexit/ . This is reflected on our website at Data protection (GDPR)>After Brexit.
Update, 11th April: our Brexit page has now also been updated to reflect the agreed second extension of Britain’s membership of the EU.