Speed of time

According to Scuttlebutt 2505:

CURMUDGEON’S OBSERVATION
There is the speed of light and there is the speed of sound. There is also the speed of time, which after careful review in 2007, still remains at one second per second.

Leave it to the scientific community to dispute the Curmudgeon. One of the ‘buttheads offered up some info that would indicate the passage of time is slowing down. Does that mean that Rolex watches do keep accurate time, and that the rest of us have been wrong all this time?