Is it safe for a person with amblyopia to have lasik surgery?

Yes: Is it safe? Yes. Will it improve your vision beyond what your glasses do? No. In short, lasik is safe in amblyopic eyes, but it will not cure your amblyopia. Whatever your vision is in your glasses or contact lenses is about what it should be after lasik.

Careful: Lasik does not carry any extra risk in an amblyopic eye. And a few studies have shown small improvements in vision in these eyes! some patients saw better than they had seen with glasses or contacts. But you need to think of one other safety issue. If your non-amblyopic eye need surgery too, and something goes wrong with that eye, then you are stuck with the lazy eye as your best one!

Risks occur the same: Amblyopia ("lazy eye", one or both) can range from slightly blurred vision to very severe blurred vision. It is not a physical limitation to lasik but a functional limitation, meaning the best case is that you end up with the vision that your best glasses/contact prescription was able to get. Depending on the severity of amblyopia, it may not make sense to accept the risks for an elective procedure.

Yes: Yes. In patients with mild or moderate amblyopia, laser vision correction can be considered. The laser can not improve the amblyopia but it can eliminate the glasses prescription.