Policies and Procedures

I am curious to know what is happening out there in other veterinary
clinics than our cat's.  When it is time for a simple invasive
procedure to be done in your clinic, such as a blood draw, or a
bladder puncture, are cat owners/parents permitted in the room with
the cat or is the pet taken away by the staff and brought back to you
later.  Have any of you been denied your request to be in the room
with a particularly sensitive cat?

Thanks in advance

--tension