Judging by the comments here, it seems that looking away first could mean anything. Kind of pointless, in a way, I have found this could apply to just about anything; doing something could imply one thing about yourself, or its opposite.
This is kind of confusing me, because the girl I have a crush on and myself glance at each other a lot (I think I do stare a bit though , she always breaks eye contact first) and people tell me I am probably tricking myself... It is hard, when you are too scared to go up and talk to her, how to figure out someone's intentions.
Especially since I am really new to it...