Can ArcGIS be used in a cluster environment? If yes - what features are available? For example, can it work as a desktop application?
Can you clarify which specific application/software in the ArcGIS you want to put on HPC? I assume this will be standard Linux HPC cluster? I heard recently from GIS personnel on campus that they (ESRI, the ArcGIS software maker) would not even bother providing software for MacOS X; so it is probably quite safe to assume that Linux support will also be zero.