There was always rivalry between the two cities, but as former Reds midfielder George Scott explains, Liverpool's fiercest opponent on the football pitch in those days were their Merseyside neighbours, Everton.
“(The Chisnall move) wasn't controversial as what it would be now. Liverpool's biggest rivals then were Everton," Scott told Tribalfootball.com. “There wasn't so much of a rivalry yet between United and Liverpool."
Indeed, Chisnall's transfer symbolises how the rivalry has grown into one of the biggest in world football. But for Scott, the move meant much more.
At the time, Scott was just a youngster trying to break into Shankly's star-studded first-team, having arrived at the club in 1959.
The acquisition of Chisnall pushed Scott out of Liverpool's preseason tour of the United States. He left the club a year later.
“It was a bad thing for me. Because I was on the brink of the first-team at the time," Scott explained.
“I was top scorer in the reserves and I was within four or five days before going to America for a preseason tour.
“I got my suit, my injections, everything. And then Shankly called me into the office and said there is only 16 places on the tour, and we've signed Phil Chisnall and he's got to come with us. He never really gave me a proper explanation why I was the one who missed out.
“A couple of people went that didn't have the experience that I had. It was disappointing. He said go home, next season is an important one for you. It was disappointing because I would've broken through on that tour."