Welcome to the Forum
At the moment, you 'remove' the clip by loading another one
The idea is that when you have modified a clip you save it
Although the app can obviously be used as stand alone, the aim is to eventually integrate it with Pinnacle Studio which may be able to apply the same effects to multiple clips
I've just exported two different clips to my camera roll and it has given them different file names
When I tried to export them to Box Cloud Storage it showed the name as LumaClip Clip.mp4 but Box gave me the option to rename it before I saved it
File comment: Pic1
Screen Shot 2016-03-05 at 19.31.45.png [ 73.28 KiB | Viewed 1193 times ]
Where are you exporting them to?
EDIT: I've just re-read your post and just making sure you know that it is a Clip editor not a Video Editor (apologies if you know that).