The Time VX Edge Racer is their entry level frame designed for comfort over stiffness. The VXR and VXRS use HM carbon and are designed for performance. I haven't ridden them but my 2003 VX Special Pro (pre VXR), also an HM carbon frame, is quite responsive. I haven't ridden the Look frames either but they are beautiful especially the 595.
In general Time is considered a boutique manufacturer, all hand-made in France. Their geometry is very classic, their rides extremely precise. They have no-thrill designs, yet they were the first with an integrated seatpost.
Look has a larger production, now in Tunisia, and is also quite a bit cheaper. Their recent designs are quite stunning.
I have been looking on e-bay for a 585 frame for a while and saw quite a few repaired frames over the last 12 months. I have never seen such a frame from Time.