Exotics bypass a lot of normal ways to protect against things like lag. Have a warrior who can't lash, trip or bash, grab an exotic and beat on them. Chose specs that don't give bleeding, pick up an exotic and rip them up. Chose a super intelligent race and ran out of spec skills to practice during ranking, pick up an exotic and go to town because your normal weapon may not be great against your enemy but that divine power exotic might be. Also, if you don't want to fail a whole lot, find two exotics that offer the same skill, you can dual wield them to beef your skill % up until you naturally skill it up via usage.

As a side note, once your skill in the weapon gets up, you can make really good use of those weapons. I used them so much with one of my characters, the playerbase was accusing me of having an extra legacy.