Q: What will happen with GDPR after Brexit? Will the laws change again?
A: No. The GDPR applies to businesses anywhere in the world – not just those located within the EU.
The only factor which is important to applying the GDPR is that some of your customers or users are EU citizens. You could be located anywhere on the planet but, if you have clients in the EU, you will need to show compliance to the GDPR. For this reason, there will be no material changes to the GDPR after Brexit.
References:
Article 3(2), GDPR