Using a right handed helix as an example of the initial curve, say a threaded rod:
Consider an arbitrary point on the helix.
Rotate of the rod, or have the point travel along the helix.
Whether the point is traveling cw or ccw, or..., depends upon the view.
But the curve remains right handed.

- Brian

Maybe use tangent as view direction?

normal and binormal?

I do not understand the cw, ccw question. Maybe some other criterion is needed?