There are numerous "freeware/junkware" clocks available with a web search, some on toolbars. If it would be a big help to someone, they might add a two-time-zone clock on their browser toolbar to show their local time on one face and mudcat time on another.

With persistent application of the pursuit of having "everything handy" one can quite easily have a browser that displays only toolbars with no space left for content.

There may be differences depending on what server you connect to, but eBay is another site that in my area appears to post everything in "eBay time zone" without regard to users' local time. I suspect that there are several different "eBay times" depending on which server you hook to. I've also found an "eBay clock" advertised on the web, but didn't bother to see if it was an "official by eBay" or by some spammer just wanting to get something on your machine to piggyback a bot onto.

John