Many patients do drive after a dilated eye exam. Others prefer not to. It is important to remember the dilation drops last a few hours after your appointment. Main symptoms include light sensitivity and blurry vision, mostly up close. Thus, sunglasses need to be worn when outside, and you need to think about planning your day accordingly if you need to drive afterwards or plan to do tasks requiring vision up close (computer, reading).
At the end of the day, your safety is by far the most important. If you do not feel comfortable driving after dilation, arrange to have a driver with you.
Don't forget, half of the eye exam is making sure your eyes are healthy with dilation, and it's covered by your insurance!