GDPR (the New European Data Regulation) will take effect in the UK regardless of Brexit. The new European General Data Protection Regulation (GDPR) has been will become law on 25th May 2018. Best estimates suggest a bare minimum of 24 months processing and negotiating once Article 50 has been triggered. It will also remain in play for member states once we have fully departed and impact anyone doing business and holding data on EU citizens.
Michael Packman, 10 February 2017