Edgy is a person who often acts irationally in the name of pure fun or as an offfensive joke. A good example is @dimitris_pallis who is currently the edgiest person alive in Greece.
EH jee
adjective
1. fashionable due to criticizing, subverting, or opposing socially prevalent moral or aesthetic values.
• of or related to being edgy.
Adj. Used to describe a person who is often unpredictable, and may or may not live by societal norms, not by distinct choice but subconsciously. This can create an aura of mystery, as few people are able to get close to them. This description is neither compliment nor insult, as their authenticity is attractive but their volatility is often intolerable/unacceptable.
Adj. "rough around the edges."
My date with Tom was fun and he's interesting but he is too edgy - he was 2 hours late to pick me up and then took me to a completely different restaurant than planned. He was great in bed, but very guarded and I don't see any potential for a long-term relationship.