I wouldn’t have used the word palindromic to describe the happenings of this story: Aliens arrive in 1964, and their sense of time is backward from ours. It’s not palindromic because they experience the events in backward order: If I spell out the word time, they will hear e-m-i-t. It would be cool, however, to have a real palindromic story where some sequence of events in reverse is the same as that sequence experienced forward, like the expression emit time.

P.S. I just stumbled across another time travel story that is an actual palindrome! The Palindrome Paradox.

After his wife leaves for the day, writer Bennett Differing’s house is engulfed in a thick white fog, out of which comes his father who died 27 years before.