What do it mean when you tingling in my left arm down threw my finger tips?

Neurologic. Your description sounds like a nerve injury coming from your neck. In cervical radiculopathy the nerve root gets entrapped and causes dysfunction of the nerve and can lead to pain, paresthesias, numbness, or weakness. In carpal tunnel syndrome, the median nerve gets entrapped at the wrist and leads to symptoms in the hands but not usually much up the arm. I hope this helps.