There are at least 2 artists known by the name, Offset.
1. Offset is one-third of the Rap trio-group, Migos; government name: Kiari Cephus. Offset was mostly known for being the missing third Migo who arguably had the best verse on the group's smash hit, "Versace". He was released from DeKalb County Jail on October 15, 2013.
2. Offset is a rock band from San Diego, CA and consists of members Brian, Craig, Matt, Rob, Tim.
"Offset began as most bands do, in a garage with a few high school friends and some practice amps. four years, two member changes, and a couple of dozen songs later, offset has found its true sound: a blend of guitar-driven rock, infectious melodies, mixed in with a myriad of influences that range from social distortion to the police..." http://www.purevolume.com/offset
Their album "The Giving Tree" was released in 2002(?) and since then the boys have pretty much disappeared...unless YOU know more than I do, in which case, feel free to change this description :p .