Typical 2T stuff, maintenance is key. Look for rounded off bolts, especially the oil drain bolt (if you can). If I had applied a discerning eye I would have spotted many other items to set me off that the bike was less than properly maintained. Fork caps were mis-matched, rounded off bolts, foot peg brackets repaired, brake pedal mount badly bent, missing lower chain roller, that kind of stuff.
Look for obvious stains from exhaust spooge below the exhaust spigot, as an example. Also, there is a hose coming off the PV actuator cover on the right hand side of the cylinder jug, check that it is routed down and not clogged. Same with the left side, there is a hose coming off the PV cover that should be free and clear.
Inspect carb rubber boots, for cracks and fitment. Look for proper alignment of the airboot to the carb, that can be an issue.
Everything else should be general housekeeping. Oh, ask for jetting info, if it's available it means that the owner spent some time working out the bugs.
I have a Scott's damper on my 2002 300, I can't answer if Ohlins makes one.