The title is from the 1925 song "Tea for Two" by Vincent Youmans with lyrics by Irving Caesar from the musical 'No, No, Nanette'.
A divot is a piece of ground that's been removed by the action of a golf club or a polo mallet. It is considered good etiquette to tamp the divot back into the earth after play has finished.
During the postwar years, golf, once a game for the rich and famous, became hugely popular among the U.S. middle class. Its popularity would extend over the years across the globe.
At the feature starts, Tom shows his playing (along with his ruined clubs) as he made at least 51 shots in the 1st Hole before he manages to get his ball out of a "cat" made trap to the green.