I have never seen a right handed thread on the clutch side of a chainsaw because crankshaft rotation would tend to loosen it.
My old Homelite belt-drives have right-handed clutch nuts. To be fair, it is a lock-nut and the clutch itself has 2 keyways. Very heavy.
I always check the clutch for directional arrows. Alot of them have indicators telling loosen thisaway or tighten thataway.
Chris B.