At the time of this writing, the #SanFranciscoBicycleClub was the second oldest bicycle club in the USA. The oldest was the #BostonBicycleClub, which did cease operations in the 20th century. (Like most bike-boom bicycle clubs. The League of American Wheelmen does still remain - https://bikeleague.org/.)

https://www.wooljersey.com/wiki/San_Francisco_Bicycle_Club

https://web.archive.org/web/20220707130907/https://www.crw.org/content/boston-bicycle-club-crw

When the SFBC folded into the #OlympicClub, the Olympic Club Annex and the Olympic Club Wheelmen (still puzzling through their different names) theoretically ensures that the Olympic Club, at least nominally is the oldest #bicycle club in America.

https://www.wooljersey.com/wiki/Olympic_Club_Wheelmen

https://www.wooljersey.com/wiki/Olympic_Club_Bicycle_Annex