I just got back from the Apple store, decided I had enough time today to get in an appointment. The issue was there when I took it in (being an intermittent issue, I was worried it may not happen while in the store) and the genius was able to hear the clicking. He took it to the back and told me he took the screen off and put it back on. So far not hearing anymore clicking! I just got back so it hasn't been very long, but if it starts clicking again I'll post an update here.
I'm the same way dj3144, I'm very OCD about any little issue with the iPhone because of how much it costs and due to having a certain connotation of Apple being that of quality. It's these very reasons that I choose Apple over the other competitors, I don't want to deal with weird bezel plastic sticking out in odd places or weird noises coming from normal use. I'm worried that with the 6, due to how many are being made, perhaps they aren't able to maintain that quality I've grown to love with Apple products.
So far I'm good though, but again I'll see what happens and post an update if it starts up again. Have my fingers crossed it won't, because other than this issue, this 6 is perfect.