How to recover an incomplete MOV file made in Photobooth?

I was recording a very important video with Photobooth. Unfortunately, near the end, it ran out of file space. So it was recording, and there is a 1 TB MOVE file there, but the end is missing. This means the file will not play at all. Is there any method I can use to recover the file, at least the minutes recorded up until the file space ran out?