The latest update to the Creation Kit finally sees the implementation of PlayStation 4 support for Fallout 4 mods. With the feature going into beta it looks like PS4 owners may have a few limitations when it comes to checking out mods. For one the file size limit is set to 900MB, and texture support is limited to PC textures. Which may lead to performance issues.
In addition to the above, sound files are currently not supported due to the PS4's proprietary sound format. Which means that excellent radio station mods like Atomic Radio won't work on PS4. But, Bethesda is working close with Sony to support sound in a future update, alongside optimised texture support and an increased file size.
With mod support recently launching on the Xbox One version of Fallout 4 Bethesda ran into similar problems with the 2GB limitation on that console. And although either 900MB or 2GB sounds like enough space, the file size limitation applies to all mods you've currently enabled. Which, can be a problem when you're running a bunch of different gameplay enhancements, audio, and graphic mods.