OTO:
To my knowledge the only way the state might suspend your driver's license is if your doctor notified the motor vehicle department and stated that due to your medications or other reason associated with your AN you were unfit to drive. I seriously doubt that would happen. The MVD only knows what you tell them.
However, it's common sense not to drive while on strong medications or if you have dizzy spells, vertigo or anything else that would affect your ability to drive, whether pre or post surgery. Besides, if you drove while medicated or with impaired functions and had an accident, your insurance company might try to decline covering you and you would almost certainly be sued by anyone the accident injured.
I stopped driving about 6 weeks before my AN diagnosis because I felt I my balance issues impaired my ability to drive. I just didn't know why my balance was 'off'. After surgery, I was driving within 2 weeks but it took over 2 months to regain my former confidence behind the wheel, and I've been driving for 46 years. Driving a car today is a big responsibility as well as a near-necessity so as long as you feel confident and your doctor approves, driving after surgery should not be an issue and no one is going take away your license just because you had an acoustic neuroma tumor removed.
Jim