If I post a video to my profile on Facebook and make it only visible to a custom list, can those members then re-post the video and share it with whoever they wish?
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If you share an video to a restricted list the share will not appear and your friends will have to either post a link to the video or upload the video themselves after downloading it to repost it on their timeline. – Vembu May 18 '15 at 12:06
If the video is made available to a custom list only, then the ability to download and/or share are removed from the basic interface.
That being said, there is surely a way for someone who has access to the video to hack and get a copy of it and then redistribute it on their own, but it is not done easily or through the normal usage of the facebook application or API.