Will ArcGIS 10 work properly on Linux using wine or crossweaver?
The Answer was on James Fee's Blog from your question there.
"For Linux: only ArcGIS Server, the ArcGIS Engine Runtime, and ArcReader, but not (likely ever) ArcGIS Desktop. As for Desktop: why in the world would you even want to install that collection of buggy 32-bit COM objects on a nice, clean 64-bit Linux box If you want a Linux desktop with GIS, then the excellent GRASS/QGIS/PostGIS combo will do a lot more than 99% of most GIS users in the workforce will ever need, provided they are not all hung up on storing their spatial data in a proprietary format…"
credit to GISpundit (and for the humour element)
Not that I know of. It does however run just fine using VirtualBox to emulate the OS itself, I've had no problems using ArcGIS in this configuration.