There are many cases of patients getting a new prescription after a long period of time that involves more dramatic curvature of the lens to correct things like astigmatism or farsightedness.
In some cases it quickly becomes apparent that the new prescription is distorting what you see through the lens. Another case is when you have lenses that have a large amount of curve in them such as wrap around sunglasses.
These wrap around sunglass lenses can cause some distortion making the sunglasses uncomfortable to wear. Read more