Suggest you contact this site. Operator has deep scientific background in hearing issues:

Multimedia File Viewing and Clickable Links are available for Registered Members only!!  You need to or

Sorry. I should have made it clear that tinnitius is a major aspect of hearing problems and, therefore, has been the subject of much research--as a topic standing apart from hearing loss.

Suggesting that you ask, at this site, for any studies linking T with Cluster.

I've never seen any medical literature linking the two in discussioins of Cluster.

I have had tinnutis in my left ear for decades, and recently had episodes of pulsatile tinnitus in my right ear. This new type corresponded with my TMJ jaw issues going from occasional and mild/moderate to severe, with daily headaches in my temple, usually waking me up in my sleep (clenching my teeth).

IMO, there are several possible causes for tinnitus - some drugs induce it as a side effect ... not relevant to my condition as I haven't taken any meds known to cause it.

Another mechanism that does explain my tinnutis fairly well is centered on muscular issues - an imbalance causes certain muscles to get taught and locked up, and they pull on the bones around the ear, and this changes the shape around the ear and disturbs circulation and presses on the sound receptors.

I can make the non-pulsatile tinnitus worse by clenching my jaw. I have also been able to lessen the non-pulsatile noise with physical therapy that is designed to strengthen the muscles in the neck and shoulders to improve my tmj. The SCM muscle goes from the collar bone to underneath the ear, that is one muscle that seems to be involved in the condition for many. Poor posture and a head-forward slouching position is a big contributing factor in my case. 

The pulsatile tin is still new to me, I don't understand it as much as the other, but I have noticed that posture and other neck stuff is definitely a factor.

FWIW, I do recommend an inexpensive book on D.I.Y. physical therapy ... Pain Free, the Egoscue Method. 20 minutes of relatively easy to do (but boring) exercises broke the TMJ headache cycle for me. I am still working to rebuild my posture and get back to full mobility and perfect posture (or as close as this old body can). The first week of the exercises I was 80% pain free compared to the previous week, and within less than a month, I was 100% pain free. The tinnitus is still off and on, but it is improved. But since I have lived with it for decades, I am looking at the improvement in positive terms.