What could cause cramping feeling that radiates from tempero mandibular joint, down back of neck and into right side of chest?

Dysfunction. The temporomandibular joint if it's dysfunctional can be impinging on vessels and nerves that can cause your symptoms. Visit your dentist preferably a specialist. Structures like tendons and ligaments along with muscle spasms around the joint can also cause your symptoms.
Depends - -- Possible causes are huge, hard to decide without full evaluation in one to one interview. Emergency conditions in adults - heart disorder, neck disorder, arterial disorder, immunomuscular disorder such as polymyaliga rheumatica, cervical spinal disorder, also have to consider local lymph nodes, and lung problems. Again diagnosis is hard to make and would entail many visits.