has it been performed live on any occasion?
Yes, at the 58th Annual Grammy Awards, the 1989 World Tour and Reputation Stadium Tour.
Out of the Woods (song)
 58th Annual Grammy Awards 
who is are we out of the woods about The song is about "the fragility and breakable nature of some relationships. by whom was it sang? Taylor Swift
wiki:4844250
Out of the Woods (song) [SEP] Live performances and covers
Swift also performed the song as the opening act to the 58th Annual Grammy Awards on February 15, 2016. The song was also a regular part of her setlist for The 1989 World Tour and was the penultimate song sung on the show each night. In 2018, Swift performed an acoustic version of the song during her Reputation Stadium Tour show at Rogers Centre in Toronto, Canada and Auckland, New Zealand. Ryan Adams recorded a soft rock cover of "Out of the Woods" for his album "1989". Yahoo! writer Oscar Gracey said that Adams' cover "makes us want to hike through a forest, find a clearing, and mourn the relationships that didn't quite work out."