TUPE stands for Transfer of Undertakings (Protection of Employment).
The TUPE regulations came in to force in 2006 (but have been updated) to protect employees’ rights when they transfer to a new employer.
Yes, they still apply as they are UK Regulations.
In fact, the UK gold-plated the EU originating Directive when we were still in the EU so UK legislation already goes beyond the EU provisions originally required.
There may be some tweaks to make them more business-friendly but nothing is in the pipeline for now.
What you need to do next
Nothing. Phew.
Further reading