A
hare is any member of the animal family Leporidae.
They can run really fast, which is why my second shot is a bit blurry! It's also the reason the lures used in dog racing are called
hares. I'm not sure, but the fact these go round in circles might be why people who dash about all over the place are said to be
haring around.

To be
hare-brained is to act in a rash or wild manner.
Should you try to remain on good terms with both parties during a difficult situation, you may be described as
running with the hare and hunting with the hounds.
The
Hare and Hounds sounds to me like one of those pubs which looks all nice and traditional on the outside, then tries to sell you 'deconstructed' food and refuses to serve it on plates.
To
start a hare can be to open up a lively discussion or to set something in motion. Hmmm... what do you think about restaurant food you have to assemble yourself, or which is served in a shoe, on a bat, or wrapped in a nappy?