I’ve seen a bunch of these – often with similar colour palettes of red with blue/green/turquoise. There are two overlapping copies of the design in two solid colours, which are almost (but not quite) exactly the same and overlap in a way which is almost (but not quite) consistent.
Does it have a name?
This is the logo of madeByRaygun:
I’d call that “Fake 3D” (or Fake “stereoscopic 3D”, as suggested in comments) style. People started copying the 2D look of this 3D faking technique probably without realizing what it originally is used for. The red/green channels left and right of the original black logo shape mimic a technique used to make things appear 3D when viewed through glasses with one red and one green toned side.
See http://en.wikipedia.org/wiki/File:Moonstereo1897.jpg from the sterepscopy article on wikipedia: http://en.wikipedia.org/wiki/Stereoscopy
[Edit to reflect some of the comments and other answers:]
As @Brendan and other users suggested, the case could equally likely be an “offset printing job where two spot colors don’t quite line up”.
The logo uses a deliberate “misregistration”, mimicing either a techniqual glitch or a 3D technique. Regardless of which of the possible two variations is in question here, this approach stylizes a technical feature and makes deliberate reference to a glitch or sorts.