Where is that gif from? Was it a Twilight Zone episode?
I believe another FReeper mentioned a subtitled copy still being up on YouTube, if you're interested... and you really should be interested. (Also well worth owning on the Criterion DVD edition, if you should happen to enjoy it.) ;)
It is from a movie, “Eyes Without a Face”.
http://horror540.rssing.com/chan-9599365/all_p2.html
Scroll Down, you will see it.