the eye test is the main part of the medical renewal when ive done them. you have to get one every year/6 months depending how old you are. other checks like hearing and you heart are done every 5 years i think.
best thing you can do is go and do your class one medical and see what happens. its best to do it before spending any money on flight training as if there is a problem, atleast you have not blown any money away on flying already.
try going through the medical forum as well. im sure there must be a few posts around somewhere in there for you.