Facestalking

No, not like you “check up” on your ex and his new girlfriend Facestalking, but actual stalking–in the bushes with binoculars stalking.

I guess it is stalking, only the modern day equivalent (now termed Facestalking), albeit it without you having to hang out by the dumpster behind your intended's building to sift through her garbage for old underwear or loose strands of hair.