I can't tell you whether it's a lasting trend, but if you're going for a specific look and a vessel sink works with your design, then go for it.
My parents have a custom piece in their bathroom where my dad took an old dresser, refinished the top, and installed his and her vessel sinks on it. It came out awesome. One definite benefit to the vessel sinks is that he was able to keep the drawers functional.
As far as the cleaning goes, I haven't noticed my mother doing anything special to clean it. She cleans it like you would clean any other sink.