No, we cannot answer your question specifically though I can say I know
how that feels. Cut a bunch of habanero peppers once. Washed 4-5
times, waited a day and a half and still burnt the hell out of my eyes
when I rubbed them a bit. Habaneros are evil, but oh so tasty!
As for the peppers in your case, the capsaicin is what makes them hot
and that is what we need to worry about. It is not water soluable,
which is why the heat sticks with you even when you drink water. Well
actually that isn't the only reason, the other is that it physically
binds to your tastebuds for a time causing you to do the hot mouth
dance..
But I digress. The chemical is fat (hence the milk suggestion) and
alcohol soluable. This means they can stick to plastic surfaces, but
since contacts are not made out of commercial plastics but a specific
blend of cool stuff I dont think anyone here knows (or wants to
experiment with) the soluablility of capsaicin in contacts. The best
advice I can think of is what larrydoc stated, use some alcohol based
cleaner if your lenses can use it. The alcohol should combine with the
capsaicin and at least reduce the amount of pain you will go through to
a neglible amount.
Vodka on the hands also works to get the the heat off them. If you
want to cut habaneros (or other peppers) up in the future, I STRONGLY
suggest using latex gloves. Feels kinda silly to do it, but otherwise
you are wasting a bunch of milk or vodka and then look really silly
Scot