I also have a chirping sound that comes from the left front. Mine seems to be a relay or something from the fog lights. It doesn't do it all the time. I've noticed it after hitting a real rough spot in the roadway, or sometimes it starts when I crank the bike. Usually, I can shut the bike off and restart and it stops, sometimes it takes several times to get it to stop.
2002 --- 1800. I bought the bike used a couple years ago and don't know what brand of fog lights it has. It doesn't matter if fog lights are on or not, when it "decides" to start chirping. I can't make it chirp when I take the lower panel off. No help here, but you might look in that area.