ModifySelf right behaving strangely?

I’m using 3.4 and I gave one of my users the ModifySelf right. After doing
so, I logged in as that user and tried to change his “Organization” field.
When I tried to save, I was given a “Permission Denied” error. However,
when I clicked to save again, immediately following the first try, it
saved with no trouble.

Any thoughts? I’m open to someone telling me that I’m doing something