Nick recalls, after knowing Jordan for some weeks, a scandal that he'd heard about a while ago:
At her first big golf tournament there was a row that nearly reached the newspapers—a suggestion that she had moved her ball from a bad lie in the semi-final round. The thing approached the proportions of a scandal—then died away. A caddy retracted his statement and the only other witness admitted that he might have been mistaken.
In other words, then, it seems incredibly likely that Jordan did cheat, as she was seen to do so by at least two witnesses. However, the fact that the caddy retracted his statement and the other witness says that he might have been mistaken makes it seem as though they were either threatened or paid off to change their stories before it became front-page news that the well-to-do socialite Jordan cheated.
Further, Nick calls her "incurably dishonest" and says that she "instinctively avoided clever shrewd men" because she always wants to have the advantage. If she is more intelligent, or at least better at lying, than the men she dates, then she can maintain that advantage she seems to desire. In one sense, this is cheating, too. She sizes people up and manipulates them accordingly.