I was sold a house as 3 bedrooms with the third laid out as such in one of the basement rooms. I had a survey done. However now discover ceiling should be 7ft, the room is only 6ft4ins. Do I have any recourse to the surveyor or estate agent?
You can and should go after the real estate agent. There are minimum requirements to call a room a bedroom. My local codes require a window (not sure of the minimum size) a closet (also not sure of the minimum size) a minimum height of around 7'(not sure of exact figure) and a minimum floor space with some ratio of length vs width (also not sure of the exact criteria).
The bottom line is that to be sold legally as a 3 bedroom, which demands a premium over a two bedroom, certain criteria need to be met. The same applies for bathrooms and kitchens. That's where terminology like 2 and a half bedrooms comes in. It means 2 bedroom with a room you can use as a bedroom but legally isn't.
A surveyor is only concerned with property lines and house footprint. The interior is not a primary concern.
Yes like a 2 piece bathroom isn't actually a legal bathroom so they call it a half bath
or in this case 1+1 bedroom
It just means one legal bedroom and a room that the realtor has arbitrarily decided is a bedroom.