I think the most serious complication is an infection. Thankfully it's very rare.
The other complication will be manageable like high eye pressure, retina swelling, or detachment.
I think most doctors will be on the lookout after surgery.
Thankfully not all these are common. I think the most common complications from any surgery in the eye, like dry eyes. So the eyes will be dry six months, some residual or short-sightedness.
You cannot expect 0 degrees after cataract surgery; there is bound to have a bit of degree of shortsightedness, maybe 50 or 75. That is the most common so-called 'complication'.