What is the meaning of Edgy?

Nervous, apprehensive.

Creatively challenging; cutting edge; leading edge.

On the edge between acceptable and offensive; pushing the boundaries of good taste; risqué.

Irritable.

Having some of the forms, such as drapery or the like, too sharply defined.

Sharp; having prominent edges.

Cool by virtue of being tough, dark, or badass.

Exhibiting behavior that is disconcerting or alarming, sometimes in an effort to impress or to troll others.

Source: wiktionary.org