Happened on my one and only Concorde flight (LHR-JFK). We were late due to weather in New York and once we were all aboard a gate agent came in and spoke with a passenger who then disembarked, looking jovial the whole time. Turns out his company had contacted BA (this was before cell phones were ubiquitous) to tell the passenger not to bother going to NYC.
Didn't delay the flight further, as I suspect no checked luggage was involved.