I haven't actually started writing my story, but it's interesting to read everyone's comments on this since this is not something I considered, so I'll be sure to use this as a reference. Still, I had my own plans to deal with this.
First, my story will have illustrations, so that's one method, but I'll be uploading my story to numerous places and some places don't have the option to upload images. Also, those who can't see the images for one reason or another may still need descriptions, so the necessity to describe the clothes will be required.
I personally don't like too many details. They just get over my head and I get bored with reading descriptions. I'm more of an action and dialogue kind of person. So to deal with the clothing description, first I make sure there is a reason surrounding the need to describe the clothes, or I find some situation that necessitates describing the clothes. One example would be if the character has particular quirks that the clothes can further expand upon, or perhaps describe the weather and add a description of the clothes to further illustrate this.
Whatever method I use, one thing I will want to do is to keep it brief. I don't like these descriptions that go down to the fiber of the clothes. If a guy is wearing a basic white t-shirt and jeans, I just say he's wearing a white t-shirt and jeans. I'm sure the reader can figure out the rest. If it's more complicated, like say a woman wearing a formal evening gown with intricate sequins surrounding the top, embroidered with a floral designs having a large v-shape opening that exposes her cleavage, and a long skirt that is black and shiny with folds that shine brightest at the apex of the fold... yeah, that works. Just get the general idea and let the reader's imagination fill in the rest.
And yes, I used a photo reference to describe that dress. Once again, the illustration can help out.