I've been scouring internet forums/news sites and nothing has been said about a video leak at all (for now at least) *sigh of relief* So it seems not many people found out about it after all...
Actually if Gaga found out about this, I could see her saying "Monsters, make Marry The Night the #1 topic on Twitter and I'll release the video early for you guys .xx"
Apparently it was put on Youtube but blocked seconds after. We don't know if it was the actual video or not - but seeing as they blocked it so quickly it probably was, albeit an unfinished version.
Now in India, where she will play during the closing ceremony of the inaugural Indian Formula One Grand Prix on Sunday, she seems to be aiming for 1.2 billion more fans.
.xx" 
it looked good though(that still) 