While there's been many Linux-related projects using the "Fastboot" coin, the Intel Linux graphics team have been working on Fastboot support in terms of a faster start process by eliminating some useless mode-sets.
For more than one year there's been Intel Fastboot patches
that have been worked on casually by Jesse Barnes and others. Fastboot makes things faster by steps like avoiding the panel power sequence for laptops and trying to skip unncessary mode-set operations on the hardware.
Beyond needing to apply the patches, right now the support isn't there by default but requires setting the i915.fastboot=1
With a bit of luck, this work will finally be merged into Intel's DRM driver within the mainline Linux kernel soon, but until then it can be found on the Intel-gfx mailing list