"
Would you dance,
If I asked you to dance?
Would you run,
And never look back?
Would you cry,
If you saw me crying?
And would you save my soul, tonight
I think what he is saying that if he asked you to do some would you do or if such as "run and never look back" would she do it. "Would you cry, if you saw me crying?" He means if someone saw you crying would you cry as well.