Yewcic punted 377 times for 14,553 yards over the 1961 through 1966 regular seasons for the Boston Patriots. He also was used as a flanker and running back. He completed 87 passes for 1,374 yards and 12 touchdowns and had 72 carries for 424 yards and four touchdowns. He caught seven passes for 69 yards and recovered three fumbles in 77 regular season games. Yewcic played in two playoff games for the Boston Patriots and completed three passes for eight yards, ran for a 10-yard gain and punted 14 times for a total of 523 yards. His longest punt in the playoffs was 68 yards.
Yewcic had a career long 46-yard run in the Patriots 14–10 loss to the Denver Broncos on September 29, 1963. His career longest reception was 46 yards in their 45–17 rout of the Denver Broncos on September 16, 1961. Yewcic's longest punt was 70 yards in their 27–23 win over the New York Jets on November 28, 1965. Yewcic holds the team record for the longest run by a Patriots punter in a regular season game: a 20-yard gain in the Patriots 26–16 win over the Oakland Raiders at Boston University Field on October 26, 1962.
Yewcic is tied with Chris Hanson for the most games with only one punt (4) during their career with the Patriots. Yewcic averaged a career best 40.7 yards per punt for the 1965 season. Yewcic and Tom Brady are the only Patriots players who have punted, thrown a touchdown pass, caught a pass, and run for a touchdown.
Tom Yewcic Football Stadium at Conemaugh Valley High School is named for him.