Yes, the French Chess Organisation in 1924 required participants to be amateurs for their Olympiade-Tournament.
The 54 participants from 18 countries had to show a certificate, signed by their national Chess Union, to confirm their amateur status.
They all accepted players, who won price-money in tournaments, but were not recognised as being professional players.
"For the 1924 Olympics an attempt was made to include chess in the Olympic Games but this failed because of problems with distinguishing between amateur and professional players."
If that's true, does anyone know what distinctions were proposed and just who did they conceive should or should not have appeared at the 1924 Olympics?
The unofficial "Olympiad" they held instead did not seem to have any amateurism requirements.