I don't know about any "chime" sound. But turning my head hard right and hard left helped bring on tinnitus for me. I had already started to experienced some kind of buzzing sound in my left ear when making certain neck or arm movements.
I didn't give it much thought. Not until I went to an audiologist and did a hearing test and it showed a mild 30 dB dip at 6 kHz on my left ear. I was exposed to sudden high pitch (about 6 kHz), high level noise from a failed computer sound card a few months before this. I had developed spasms in my left ear (TTTS) and was having panic and anxiety attacks. It only made matters worse when I started investigating these weird sensations and sounds I had been experiencing earlier. So I noticed this change in volume or pitch when yawning, clinching teeth, or turning my head left and right.
I think it's this one day when I turned my head too much to the left that the buzzing sound became constant. More or less so... I barely notice it sometimes, yet other times it disturbs my sleep, makes me uncomfortable, makes it harder to concentrate at times and sometimes give me panic attacks.
What kind of sound you hear is all different for everybody. You may hear chimes, I hear buzzing, someone else hears beeps, it's all different sounds. But what we all have in common is that certain body part movements seem to trigger these sounds or make them softer, louder, change in frequency and so on.
Doctors are all puzzled! Even the top scientists in the related fields. They don't have a clue! Even if they do, they can hardly test their hypothesis. There is a lack of basic diagnostic tools and methods to set accurate diagnosis. They only speculate and hypothesize about it, based on stories told by patients. Even when they do that, they use a group of no more than 500 individuals. They look for "prevalence" of one symptom or the other. With a large set of symptoms, these 500 individuals quickly narrows down to maybe 50 individuals with exactly the same symptoms, same age, etc. You can hardly draw any meaningful conclusions from such a small number of individuals. Tinnitus sufferers count in millions of people around the world! Why can't they collect data from all of us?
What they need is to gather a lot more data and acquire true knowledge and understanding of the problem or problems. They need to develop new type of tests, collect a lot more objective measurement data, process that data and turn it into new conclusions and discoveries.
Scientists across the globe from several medical fields need to collaborate a lot more, and put a lot more resources and effort into this. It's such a complex problem! It's a set of a number of problems and symptoms. We are only now starting to see a lot more initiatives from pharmaceutical companies, governments, and scientists coming together to try to solve these mysteries.