Using clockwise, modified or not by a suffix, in this context is wrong. Clockwise is about direction of motion whereas the OP only wanted to know about the right way round, or orientation, for a swastika. But I'd also like to address the suffix he used, -ality, which is inappropriate anyway.
The suffix is a combination (https://www.wordnik.com/words/-ality) of -al + -ity:
suffix of or pertaining to; adjectival suffix appended to various words, often nouns, to make an adjective form. Often added to words of Latin origin, but used with other words also.
suffix Used to form a noun from an adjective; especially, to form the noun referring to the state, property, or quality of conforming to the adjective's description.
In the context of the OP, clockwise is an adjective:
adj. Moving clockwise; having rotary motion in the manner of a clock.
So, using -ality you would produce an adjective by the use of -al and then a noun by the use of -ity; but the appended word clockwise is already an adjective, so -al is redundant. We are left with -ity, hence clockwisity is a noun. But this is not the way to form a noun from clockwise - as pointed out, -ness is the suffix to use to form a noun: clockwiseness:
suffix Appended to adjectives to form nouns meaning "the state of (the adjective)", "the quality of (the adjective)", or "the measure of (the adjective)".
But even clockwiseness would not do here for the reason already alluded to.