Credit to "Amir Garis" on YouTube.
Within 10 seconds of starting a procedure, you need to prick yourself with the green needle.
This will then give you problems with depth perception and wobbly controls, making the surgery much more difficult. Choosing a surgery that you feel comfortable doing will help. Taking a slow and careful approach will also help, as there is no real time limit on completing the surgery.
Getting this achievement along with "Surgetricity" will help greatly with getting used to the controls for "And They Said It Was Impossible!".