Edgy could mean different and unique. It could also mean defensive or nervous.
The dress that my friend had an edgy quality. It made her look trendy and fashion forward.
After the argument with my boyfriend I was feeling edgy and nervous about going to school the next day.
The man was suspicious because he was acting edgy and twitchy when he was questioned about the crime.
I didnt want to bother my mother this morning because she was edgy and tired after working all night.