I was done this morning. Very short queue, no temperature check, just a squirt of hand gel.
No forms or clipboards or signing in, just name and address, and brief questions about serious allergies and medications.
Afterwards there was no waiting for 15 minutes in case I was taken ill.
On leaving, I was given a small card with my name on it, the date, and the vaccine type and batch number, and a sheet of paper to read, which includes near the top:

"Read all of this leaflet carefully before the vaccine is given because it contains important information for you."

There is a list of possible side effects, but the bit of information that does worry me is that the vaccine is:

"Produced in genetically modified human embryonic kidney (HEK) 293 cells."