Seriously...you need the flapping action to limber up the fibers. Otherwise they just hang there and dry like a bunch of hay.
If your clothesline is in the shade, that'll help too. Things dry slower if they're not out in the sun and will give em more time to flap around in the breeze. Not to mention things don't sunfade as quickly too.
Even if you're not using the heat on a regular tumble dryer, throw the stuff in and let em tumble for a few minutes to do the same thing.
I still prefer hanging stuff out on the clothesline over using the dryer. It just smells so much nicer off the line, especially when the alfalfa and clover is blooming. I just can't find a dryer sheet that smells like that!