What is the "honey stick" called?
The most common term is "honey dipper".

It goes by several different names, though... largely because people usually can't remember what it's actually called:


  Steven of The Sneeze takes a look at the widespread use of "the honey thing"—also known as a honey dipper, honey wand, or honey drizzler—on cereal boxes despite that few people seem to actually use these honey things


So, "honey stick" would probably get people to think of this tool, too.

For more information see the related question:


How to use a honey dipper?