Snopes says you can sneak a peak through selfie mode. UV rays can still reflect off the screen and into your eyes though, so don't stare at your phone for the whole event.
If you have an iPhone, the lens is wide enough that it shouldn't burn in.
Quote:
Can you watch the eclipse through your phone’s “selfie” mode?
You can view the eclipse through your phone’s “selfie” mode so that you can watch it on your screen. That will spare your eyes, but be sure to make certain it won’t burn your phone’s photoreceptors; for example, Apple says iPhones and iPads are safe to point at the sun because the lens is so wide, meaning that the full force of the light the sun emits is relatively dim, but if you use a telephoto clip-on lens or something else to magnify the sun and its light, a filter is probably a good idea.
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Source:
http://www.snopes.com/quick-guide-20...solar-eclipse/