If $\operatorname{curl} \vec F \neq \vec 0$, what conditions determine whether the rotation is counter-clockwise or clockwise?

Question

If $\operatorname{curl} \vec F = \vec 0$, then a tiny paddle wheel moves with the fluid but doesn’t rotate about its axis. If $\operatorname{curl} \vec F \neq \vec 0$, the paddle wheel rotates about its axis.

I know the above two statements. What conditions determine whether the rotation is counter-clockwise or clockwise?

Can it be determined from $\operatorname{curl} \vec F $?