I occasionally come across a symbol that looks like this:
It looks to me like some sort of stylized heart, or maybe some kind of fruit on a branch. It is often used to separate blocks of text, for example on book covers that are trying to appear elegant. I most recently saw it in this New York Times Op-Art by Ben Schott (may require subscription).
Does this symbol have a name?
Generically, it’s called a “fleuron”. Some specifically call it an “aldus leaf”.
A fleuron is essentially an ornamental typographic character. The Aldus Leaf being a commonly used one.
More information: http://en.wikipedia.org/wiki/Fleuron_(typography)