Just after I moved in, I discovered that there was no real place for the scourer/sponge to go (I hate it when it ends up in the sink!!!)
So I took an empty yoghurt pot and cut it up to fit around the tap, as a little holder:
This took all of five minutes, and it's working well!
My inspiration for this came from this post for a holder while a phone is charging (so clever), and there is a slightly more elaborate tutorial here for doing this with a shampoo bottle. I must admit theirs is prettier than mine!
You could do this with any plastic container that is big enough to hold a sponge or brush when it has been cut. Again, perfect recycling and repurposing! :D