Yip.Have you tried lubing the pivots on the rear derailleur? That stopped the dawn chorus from following me around in the past.
Remove, oil, replace.
I've got intermittent chirping (only while pedalling) at probably the rear derailleur and I may have to replace the pulleys. However, I'm doubting my diagnosis since I replaced the original eight year old pulleys only three years ago (Shimano RD-M593).
TNT and a new bike, sorted.
Not before we've speculated that it could be the headset or the battery connection in the front light.
That's ridiculous.
It's a loose valve cap.