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1.
Depending on context there are two accepted meanings for this phrase.

Friendly: The story should be shared while we are in route.

Unfriendly: Whatever you have to say, say it while you are leaving.
Wow we are going to be late, can you "tell your story walking?

or

You are under arrest, put your hands behind your back. Don't give me any lip, "tell your story walking".
by Romale_2307 August 16, 2010