There is no problem with either your phone or your phone's camera!!! You might have seen some video with a computer monitor (usually CRT) in it showing flicker or fast moving lines across it!
This occurs due to the fact that fluorescent lights usually work at (or close to) AC frequency (cyclical but we don't notice due to persistence of vision) whereas video is recorded usually at 25fps or 30fps (home video as per PAL or NTSC) causing a mismatch between the two ... usually resulting in a strobe or banding effect! Camera software uses algorithms to reduce this flicker but may not be successful at all times!
To reduce this problem, either low flicker (higher frequency) lighting may be used and/or higher frame rate be used! In fact, this problem is going to surface again as we shift to LED lights that also run either at AC frequency (low quality) or higher multiples of it (higher quality)!
All you have to do is to find out if you have Anti-flicker setting in your camera app (for video) and either set to Auto or 50Hz! If there is no option, ask your rom developer for guidance!
Here is a screenshot from a mobile:
And here is one from a camera:
Some sample footage (android phone) with both anti-flicker off(technically on but at incorrect frequency of 60Hz) and on(50Hz):
IE11 played these in the browser on my PC!
(.3gp extension with Mpeg-4 format and 3gp4 codec ... try MPC-HC if your media player can't play these)