Clothes during touring? Are your touring-riding clothes a lot different than, let say, clothes for riding to work? Do you wear better or different clothes for touring? Have you found some good way to wash your clothes during touring? And how does washing affect your choice of clothing? How do you keep your touring clothes during touring? You surely need to separate dirty, clean and wet-clean clothes. How do you manage them? If you just washed your clothes in some sea and you need to continue riding, how do you guarantee that the water will evaporate? Do you choose your clothes in a way that they get dry fast? Which criteria you have for touring clothes?
When packing for a tour, I'll often spend as much time deciding which clothing to pack as I will for all other packing combined. What clothing one wears on tour is a personal decision, based on the rider's preferences. Below, I've written what I wear, and why I prefer it.  

When riding, I wear padded lycra cycling shorts with breathable t-shirts. I'll usually bring two or three pairs of shorts, two t-shirts, and three pairs of wool cycling socks. I'll also bring along a pair of tights to wear over the shorts in the morning, and a light cycling jacket. Even in the hottest part of the summer, it's quite cold in the morning where I live, so this is important. Lycra dries fast, and that's part of why I wear it, but my primary reason is that it's comfortable. 

Cleaning clothing: Lycra washes easily and dries fairly quickly. I'll usually stop at a laundromat to do a load of laundry a few days into the tour; sometimes my host for the night may offer the use of a laundry machine and dryer. If I know I won't get a chance to do this, I'll wash my shorts and socks by hand in a public restroom. (Some cycling shorts specify washing by hand or on a gentle cycle anyway.) I don't worry about wearing a dirty shirt or tights, but I don't want to re-wear sweaty shorts or socks. 

If you camp in areas that don't have public restrooms, you'll want to get camping soap that won't harm the environment, like mgb wrote. 

Drying: I'll bring a clothesline along with me and string it between two trees, but when it's humid out, that won't always work. In that case, I'll hand my clothing to the outside of the camping roll that's strapped to my rear rack, tucking the clothing under the bungee cords. An hour or two in the wind will dry just any cycling clothing. If I have a trailer with me, so much the better; there's more space to act as a drying rack. 

In cold weather or rain, I'll have more clothing. Some of these can be washed the same way as lycra, such as the balaclava and glove liners, but some cannot: rain pants, a rain jacket, heavier cycling pants, winter gloves, and so on. Any of these heavier items that need to be washed can wait until I get to a laundry machine. (You don't sweat much in the winter in any case.) 

I'll also pack off-bike clothing.  I tend to favor cotton pants or shorts, black tee-shirts, and sweat socks. These roll up tightly, and are comfortable. I'll also bring something to sleep with, although clean bicycle tights and cycling jackets are good extra layers for cold nights in a tent. Cleaning cotton, which is unsuitable for riding in any case, will wait until I get to a laundromat. 

In my panniers, I'll segregate dirty clothing from clean by bringing along a few plastic grocery bags and sealing the dirty clothes in them as best as I can. While doing laundry, I'll sometimes let my panniers air out. 

In summary, a little time spent planning will help keep your panniers light, and an hour or two spend every other day will keep your critical clothing clean.