Re: Put a new spin on old tricks
As I see it, it means doing the same that was done before but from a new perspective.
See the video I found: Old trick with a new spin... - YouTube
In it, the skater is making his skate jump. That would be the old trick. But he makes it revolve 360 degrees in the air. That would be the "new spin" part.
Note that the expression does not refer to "spinning" literally. It just means taking something pre-existing and modify it in any way so that it looks new.
Please be aware that I'm neither a native English speaker nor a teacher.