Much like the previously released version of 'Money', the new track is a slower, more sombre take than the original.
Watch: Roger Waters - 'Time' (official lyric video)
Waters, who will perform 'The Dark Side of the Moon Redux' at two intimate concerts shortly after the album's release, has written about how the project came together.
He said: "When we recorded the stripped-down songs for the Lockdown Sessions, the 50th anniversary of the release of Dark Side of The Moon was looming on the horizon.
"It occurred to me that Dark Side of the Moon could well be a suitable candidate for a similar re-working, partly as a tribute to the original work, but also to re-address the political and emotional message of the whole album. I discussed it with Gus (Seyffert) and Sean (Evans), and when we'd stopped giggling and shouting 'You must be f---ing mad' at one another we decided to take it on."
Waters continued: "It's not a replacement for the original which, obviously, is irreplaceable. But it is a way for the seventy-nine-year-old man to look back across the intervening fifty years into the eyes of the twenty-nine-year-old and say, to quote a poem of mine about my Father, 'We did our best, we kept his trust, our Dad would have been proud of us'."
Watch: Roger Waters - 'Money' (official lyric video)
Waters has also made some scathing comments about his former bandmates.
In an interview with the Telegraph he said: "I wrote The Dark Side of the Moon. Let's get rid of all this 'we' crap. Of course we were a band - there were four of us, we all contributed - but it's my project and I wrote it, so, blah."
He added that they were not great lyricists, including the late Rick Wright (who he spoke about in the present tense).
He said: "Well, Nick never pretended," Waters said. "But Gilmour and Rick? They can't write songs, they've nothing to say. They are not artists. They have no ideas - not a single one between them. They never have had, and that drives them crazy."