There is more than one artist with this name: 1) Fluffy is an all-girl British indie punk/pop band from London. Formed in 1994. Lineup: Amanda Rootes - Vocals/Guitar, Angie Adams - Drums, Bridget Jones - Guitar, Helen Storer - Bass.
Musically they were often described as a "messy" Elastica. In fact, one member admitted during an interview that they would often listen to Elastica while cleaning their flat because the music was so "clean" to them.