A list of risks is part of how a price should be read, because a quote that ignores risk is only half a quote. This page covers eyelid surgery risks and how to ask about them alongside the figure.
What a risk list is for
The American Society of Plastic Surgeons lists possible eyelid surgery risks that include anesthesia risks, bleeding from the incision lines, changes in skin sensation or numbness of the eyelashes, and difficulty closing your eyes. A list like this does not carry a price. It tells you what a consultation should discuss before you rely on any number.
Anesthesia is one line on a longer list
Anesthesia appears first on that list. The American Society of Anesthesiologists publishes a page on anesthesia risk factors for patients preparing for surgery, and it is a sensible thing to read before the consultation.
Where you have room to ask
You have room to ask how each item on the list would be handled and whether the quote says anything about it. You do not have room to expect a firm number before you have been examined. The NHS page on eyelid surgery is a second general description to read beside the risk list.
Confirm in writing
Ask the practice to state in writing what the quote covers and what it does not, and whether it is a firm quote or a range. Then bring the risk list to the consultation and go through it line by line.