Beginning with at least the iPhone 4S, and continuing with the 5 and 5s, I see that videos shot with those devices show a capture time that seems to relate to GMT, when it was actually shot at GMT -5.
The videos show a correct creation time in Finder prior to import, but this odd shift occurs upon import. I know that the capture time can be edited in Lightroom, but I'd rather see the correct time on import.
This happens in Lightroom 5.3, but also occurred all the way back into 4.
Lightroom CC2015.12/6.12 was released today and should address this issue. Please update your Lightroom to the latest version and let us know if you continue to see the issue. Thank you for your patience.