This device

I'm unsure about an English term, but in German it is a "Quirl", related to the "whorl" of twigs on a stem it was originally made of - for example from old Christmas trees:

(source)

Later versions mimicked this with a star-shaped wooden or porcelain "head" on a wooden handle,

(source / source)

the plastic head is a more modern twist:

(source)

In Central Europe you should be able to buy them from either kitchen stores or - if regionally less common - from various online retailers.

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?