Liscio attended Westinghouse High School, where he was an All-state end in football, the starting center in basketball and a shot putter for the track and field team.
As a senior, he was moved to defensive end and was named All-Missouri Valley Conference, honorable-mention All-American and was invited to play in the College All-Star Game against the NFL champion.
He was named the starter at left tackle (five starts) at the end of his rookie season, becoming the second player in franchise history to hold this position after replacing Bob Fry.
During his first eight seasons, Liscio was a starter on an offensive line that helped Dallas reach two NFC Championships and one Super Bowl, while playing in 84 games, many of them with injuries.
On May 19, 1971, he was sent to the San Diego Chargers as part of the “Bambi” trade that brought Hall of Famer Lance Alworth to the Cowboys.
[7] On September 8, 1971, he was traded to the Miami Dolphins along with a fourth round draft choice (#91-Larry Ball) in exchange for center Carl Mauck.
[7] In 1971, head coach Tom Landry called Liscio on Monday November 15 to ask if he could return to the Cowboys to replace the injured Neely, Forrest Gregg and Don Talbert.
In that game, Liscio successfully blocked Bill Stanfill, helping Duane Thomas and other running backs register 252 rushing yards.