DES vêtements or DE vêtements?
...aucun de vêtements, .......etc etc.
Would there be an "s" after "de"? Or would it just be "de"?
Does it vary depending on what I use it with?

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Correct me if I am wrong, but isn't it possible to say "aucun des vetêments" meaning "none of the clothes"? A full sentence to accompany the question would be useful. :)

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You'd normmaly use "des" when the noun is plural, BUT you'd use "de" when : 

1. with certain words related to quantities. 
ex : Il y a BEAUCOUP de vêtements / PEU de vêtements / TROP de vêtements. 

2. in a negative sentence. 
ex : je n'ai pas de vêtements.

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i am French. For me, aucun des vêtements is not French.it is like no clothes.
aucun vêtement is better.

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aucun vêtement. you don't use: de
you don't put s because you don't have clothes (zero).
And you say: un vêtement, des vêtements or les vêtements (it depends on the sense, if it is clothes in general or not)