Saverine was number one in his class at the Darien High School and recruited by scouts for both professional baseball and basketball.

His father Joseph Saverine is the only person in the Georgetown University's history to have captained both the baseball and football athletic teams in a single year.

Saverine made his Major League debut on September 12, 1959 against the Chicago White Sox at the Memorial Stadium.

Saverine scored the only run in a rare battle of complete game one-hitters between Orioles left-hander Frank Bertaina and Kansas City Athletics southpaw Bob Meyer.

Career totals for 379 games include a .239 batting average (206-for-861), 6 HR, 47 RBI, 114 runs scored, and an on-base percentage of .299.