Yes! Every DJ can download their own recorded live show from their DJPanel (2080) after the show is completed. It is on the left menu, 'List/Download DJ Shows'
As a radio owner, if you delete the recorded show from the SonicPanel, then the DJ cannot download the show, the same file is used.
Please note, all recorded live DJ shows are automatically deleted every first day(01) of the month at 23:59.
If you exceed your available hosting limit, you won't be able to upload MP3 files to your playlists anymore until you delete some mp3 files or recorded live DJ show files. So check your hosting space usage from time to time, you can find detailed space usage on the SonicPanel left menu, 'View Disk/HDD Usage'.