If the lemon juice doesn't work you could try some CLR but keep close tabs on it. If CLR or similar calcium removal product is going to work you should see some change within 5-10 min.. If it does seem to be working you could keep repeating the process. In any case I think you'll need to use a toothpick to get the crud out of the deep recesses. One thing about using a CLR type of product is that it can drastically change the color of it. If the CLR product doesn't faze it then your last option would be electrolysis. I used electrolysis on a watch fob that I wasn't sure was worth messing with but I was pleased with the results even with the minor pitting. Also, the color was too grayish for my liking so I used brown shoe polish to tone it. There is a brown coin toning product available. Sorry I didn't take a before pic of the fob to show how bad it was. Let's us know how it goes.
Any type of chemical reaction incuding the lemon will probably turn it to a brownish orange