Cartoon of the middle ear showing muscles that attach to ossicles (ear bones), and ear drum. The stapedius is attached to the stapes (of course -- horseshoe object above), while the tensor tympani is attached to the ear drum. While useful, be aware that there are multiple errors in this illustration from Loyola Medical School. With permission, from:

There's no known cure for tinnitus. Current treatments generally involve masking the sound or learning to ignore it. A research team led by Dr. Michael Kilgard at the University of Texas at Dallas and Dr. Navzer Engineer at MicroTransponder, Inc. set out to see if they could develop a way to reverse tinnitus by essentially resetting the brain's auditory system. Their work was funded in part by NIH’s National Institute on Deafness and Other Communication Disorders (NIDCD).

Patulous Eustachian tubes can be associated with tinnitus. The Eustachian tube is a small canal that connects the middle ear to the back of the nose and upper throat. The Eustachian tube normally remains closed. In individuals with a patulous Eustachian tube, the tube is abnormally open. Consequently, talking, chewing, swallowing and other similar actions can cause vibrations directly onto the ear drum. For example, affected individuals may hear blowing sounds that are synchronized with breathing.
Objects or insects in the ear can be placed in the ear by patients themselves, or an insect crawling in the ear. Ear wax can also cause ear problems if Q-tips are overused to clean the ears. Symptoms of an object in the ear are inflammation and sensitivity, redness, or discharge of pus or blood. When to seek medical care for an object or insect in the ear is included in the article information.
Schecklmann et al (2014) suggested that tinnitus is associated with alterations in motor cortex excitability, by pooling several studies, and reported that there are differences in intracortical inhibition, intra-cortical facilitation, and cortical silent period. We doubt that this means that motor cortex excitability causes tinnitus, but rather we suspect that these findings reflect features of brain organization that may predispose certain persons to develop tinnitus over someone else.
If cerumen (more commonly known as ear wax) accumulates in your ear canal, it can diminish your ability to hear. Your auditory system may overcompensate for the loss, fabricating noises that do not exist. Your audiologist can safely remove the buildup, and in most cases, this will immediately alleviate your tinnitus. However, sometimes ear wax buildup causes permanent damage, resulting in chronic tinnitus.
Tinnitus retraining therapy is a form of treatment that tries to retrain the nerve pathways associated with hearing that may allow the brain to get used to the abnormal sounds. Habituation allows the brain to ignore the tinnitus noise signal, and it allows the person to become unaware that it is present unless they specifically concentrate on the noise. This treatment involves counseling and wearing a sound generator. Audiologists and otolaryngologists often work together in offering this treatment.
The yearlong Dutch trial gave adults with tinnitus a standard package of care or a programme which added cognitive behavioural therapy (CBT) to elements of standard therapy for tinnitus. CBT is a type of therapy that challenges people’s negative assumptions and feelings to help them overcome their worries. Compared with those given usual care, the group receiving specialised treatment reported improved quality of life, and reduced severity and impairment caused by tinnitus.
Tinnitus that's continuous, steady, and high-pitched (the most common type) generally indicates a problem in the auditory system and requires hearing tests conducted by an audiologist. Pulsatile tinnitus calls for a medical evaluation, especially if the noise is frequent or constant. MRI or CT imaging may be needed to check for a tumor or blood vessel abnormality.
For some people, the jarring motion of brisk walking can produce what is called a seismic effect which causes movement in the small bones or contractions in the muscles of the middle ear space. You can experiment to find out if this is the cause by walking slowly and smoothly to see if the clicking is present. Then, try walking quickly and with a lot of motion to see if you hear the clicking. You can also test for the seismic effect by moving your head up and down quickly.