I'm posting from my phone, so I apologize for the unedited photo. If you see something weird, please ignore it. LOL!
This post is about sponges and plastic baggies, both of which we recycle. (Well, zipper bags, anyway.) They have their own laundry line, right above the sink. All it took was two screw eyes and heavy cotton thread. (In this case, the thread was recycled from a cat food bag.)
I just anchored the screws into the cabinets on either side of the sink a little above eye level, and voila! I believe the term my boyfriend used when he first saw it was "rustic." I'm OK with that, because to me, it says "treading lightly."
The thread is not that thick, but I've been using this setup for a few years now.