No Regrets is a folk-rock song written and sung by Tom Rush.   The album was The Circle Game and it was released in 1968.    I had this album and have listened to the song many times over the years.    It was covered by a number of other artists too, and in soundtracks for movies.

“No regrets
No tears goodbye
Don’t want you back
We’d only cry again
Say goodbye again”

A simple song that resonates with Tom Rush’s distinctive voice.