Erm, unless clocks and similar devices have been updated recently then going up Crib Goch first is going anti clockwise
I think this (anti-clockwise) is the better way, especially if you don't know the horseshoe that well, as going up the scrambly bits is a lot easier than figuring out how to descend them.
Note that when descending from Snowdon to get to Lliwedd you go down the Rhyd Ddu path to a finger stone before cutting back down to the bwlch. You can do a direct descent but if the visibility is poor it's not to be recommended unless you know the area well.
Bob