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Well-- symptoms that travel from the wrist up to the shoulder could be an issue with either the C6 or C7 level in your neck.
So, if you know that you have issues with arthritis in the lower cervical spine, then there may be an issue with the nerves in this area being irritated -- which can cause the symptoms that you describe.
It is unlikely to have any issue with the smoking.
And given your specific symptoms (no chest pain, just tingling in the arm) it sounds more likely to do with your cervical spine, but certainly, your doctor would want to know more about your heart just to be safe.