After completing the Introduction mission you will be sent to the hub.
Once you leave your room you will enter a hanger of sorts and on the right hand side you will find a Jukebox opposite the Abyss Bar.
This jukebox will charge you 2 credits for every song played but you just need to keep using the jukebox and standing still so your character starts dancing.
Do not move about as this negates the dancing effect. Do this for 1 straight hour or cumulitive and the achievement is yours.
By going for this you will also unlock the Disc Jockey achievement.