The trick is to saturate paper towels and wrap them around your nasty looking faucet.
Here's a picture of my disgusting sink:
This sink IS clean.
We have really hard water, AND water leaks from under the faucet handle. Ugh.
So not a match made in heaven.
No amount of scrubbing was getting that crud off. It's like cement. Not even CLR made that mineral deposit disappear.
But, after a few hours of soaking, and a tiny bit of scrubbing with an old toothbrush, this was my result:
Granted the sink doesn't look like new, but it DOES look clean.
I was so excited that I had to summon Mrblocko to the kitchen to witness my handy work. Even he was impressed. I also told him to enjoy how nice it looked, because in about a week it would probably be all lime-y again.
One word of warning with this method of cleaning.: apparently, it is quite stinky. I wouldn't know as I have a massive head cold. Luckily I cant smell a thing! So when you do this, either be prepared to ventilate your house, or do what I did and catch a cold.
This one is definitely a Pinterest Fact!