Scientists believe that golf became popular in the Jurassic era. Clubs were made of bone; balls were mostly fashioned from lava, although meteorite-balls were all the rage amongst the velociraptor jet-set. Courses rarely featured water, desert was common; almost all championship golf took place near erupting volcanos. Dinosaur golf was dominated by "The Big Three": Diplodocus, Brachiosaurus, and – of course – Tyrannosaurus.
Sadly, a catastrophic event – perhaps an asteroid – wiped out all golfing dinosaurs. Nowadays, we only know they existed from fossils found in old clubhouses.