Good for you.
We've had a pretty wet winter here, so my line-drying has been curtailed, but I strung up a load of bath sheets on the line today.
I find it's most economic to line dry in the summer months, when our "lifeline" gas allowance is cut way back (what the utility euphemistically calls the "non-heating season"). I have discovered that by line drying when possible in the summer, I don't tip the gas consumption into the higher tier rates. It's not much but more a matter of pride.
I often finish off towels in the dryer, on non-heated air fluff, to get them soft again. But slightly damp with a little heat added works even better. I also fluff them before putting them out on the line.
Bath sheets line dry very nicely, and don't need any "fluffing". Similar for jeans and such. The crisp line dry feel almost makes them feel pressed.