I have heard of doing one eye for distance and one eye for near?
Monovision is a method to fit contact lenses or determine the power of implants which intentionally creates clarity in the distance in one eye and clarity up close with the other eye. It works well with early focusing difficulties but tends to fail as one requires increasingly different close/far powers with age. Because implants do not have any dynamic focusing ability, the near/far powers are quite different.
In my experience this arrangement is not suitable for implants UNLESS the patient currently, successfully wears monovision-fit contact lenses.
It would be possible to trial contact lenses prior to surgery to simulate monovision but sometimes the cataract cloudiness is so significant that a proper trial is a challenge.