does it matter which way arrows spin?

It's me again. Just curious again. Obviously when fletching arrows you can put the vanes on so that the arrow spins anticlockwise (as you watch it leaving the bow) or clockwise. (I'm on about the spin along its length, like a bullet leaving a rifle. Not some mad destructive wtf duck and cover catastrophe).
Does it matter whether its clockwise or anticlockwise? Is one way better for right handed archers and the other for leftys because of the riser and the arrow also bending? or does...

does it matter which way arrows spin?