There are several references to 'escaping', for example, "I'm ready to go anywhere...", "...but for the sky there are no fences facing" which means that the sky is the limit, "...just escaping on the run" and again "Let me forget about today until tomorrow." These lines fit with the freedom theme: escaping to achieve freedom. But forgetting about today until tomorrow seems only a temporary escape, bringing the back the idea about drugs.
It has also been suggested that Mr. Tambourine Man is a poem about transcendence, or reaching enlightenment. Some people see Bob Dylan himself as Mr. Tambourine Man, and he does "Cast [his] dancing spell" through the magical and fantastic imagery of swirling ships and trips into one's own mind.
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