I've been air-drying my clothes, towels, sheets and cleaning rags for a month now, and I seem to still be going strong. I had my doubts that I would be able to stick with the routine since it takes slightly longer than just throwing them in the dryer. However, with practice I have cut down on the time it takes to put up and take down my laundry and found that I enjoy the excuse to get outdoors. Luckily, the clothesline is in the shade so it is enjoyable to be out there almost any time of day.
I have noticed that some clothes are slightly more wrinkly, and towels more stiff. I try to give them a quick "snap!" as I am first hanging them up, and I've learned to hang shirts up by the bottom and pants up by the waist. The wrinkles seem to ease out as they are hanging up in my closet. Also, the laundry has a faint outdoorsy scent when the clothes come off the line. But that fades and I don't notice it when I wear them.
The main benefit has just been the satisfaction that I get from using less energy, although at this time of year a close second is avoiding the additional heat from the dryer, which stresses out my geothermal HVAC system. I'm sure I'm saving some money, but it's probably $10 a month, at most. However, if my dryer ever broke it would be nice to know I didn't need to pay that $300 - 400 - 500 expense. An unexpected benefit has been the fun my two-year old son has playing with the laundry on the line. He likes to hide behind the sheets and run in and out of the clothes. It's actually kind of a fun activity to do together.
The only issue is making sure to do the laundry when there is no rain threatening. I have to do laundry on a certain schedule, because I run out of certain items rather regularly, and so I have only a short window of opportunity - if I miss it due to rain, then I'll have to use the dreaded dryer. So far that hasn't happened. And in Oklahoma City, I don't see it as being too frequent of a problem. We'll see how I hold up with my routine during fall and winter...
If anyone is interested in starting to sundry their laundry, but doesn't happen to have a former kiwi trellis boondoggle around just begging to be used as a solar dryer, you could check out this article for some clothesline options.