I would just like the option to "lock" piece in so it didn't randomize. Sometimes there a parts of the random character that look good to me, but I'm not patient / skilled enough to change everything else. I'd like like to lock that part in and keep hitting random.
Conversely, I sometimes have a costume close, but want to look at some other options. If I like the head, face, hair, etc... It would be nice to get some random help in the remaining areas without wiping out the stuff I liked.