Hi Barb!
I had the eye radiation last year. I glanced over the
radiation literature that I had recieved at that time.
It didn’t say anything about not getting a perm! 
I even called them up and the lady said “oh sure go ahead
and get the perm”.
When in doubt give them a call and make sure you bet with
your husband so you can collect enough to leave the hair
dresser a good tip~! LOL
Michele B.
P.S. I would have freaked if I had thought that they could
have possibly messed with my hair! yikes!