What are some of the more common procedures when faced with a hung landing gear? A hung landing gear is a potentially disastrous situation for a pilot flying a general aviation piston aircraft. During "shop talk" I've heard people say that the best thing to do is cycle the gear. During my multi-engine check ride I was told emphatically by my examiner that cycling a hung was the wrong thing to do.

What are some of the more common procedures suggested in POH/AFM documents for this situation? Can any deeper understanding be extracted from the common procedures?
As referenced in a comment, the generally accepted thing to do is to refer to the aircraft emergency checklist/AFM to see what it says to do.  

This will vary by aircraft design, but usually involves testing the indicator lights, and then activating alternate means of extending the gear as needed.