[3] Gaw made his major league debut with the Chicago Cubs in the 1920 season.
He pitched in six major league games for the Cubs, posting a 4.85 ERA in 13 innings of work, and recording one hit and one run in four plate appearances.
Gaw's longest outing for Chicago came on June 11 when he tossed 7.1 innings in relief of Speed Martin against the Philadelphia Phillies in an 8-3 Cubs loss at the Baker Bowl.
He spent 1921 with the Milwaukee Brewers of the American Association, his final season in professional baseball.
[5] In 1926, he pitched and was the player-manager for Falmouth in the Cape Cod Baseball League, where his star player was future major leaguer Josh Billings.