Neur0n has just released a Beta version for his famous (L)CFW 6.39 ME firmware and as the title says YES!! wee have PSPgo (05g) support now!!! Remember this is BETA — there's bound to be bugs.

--History--
Beta 4
-- Include model_spoofer. You can set at RecoveryMenu»config
Beta 3
-- Fixed UmdVideo list bug
-- Fixed static elf loading
-- Fixed ef0:/ detection
Beta 2
-- fixed Umd Video Cache
beta
-- Added 05g support
________________________________________________________________________
v8
-- Fixed a ISO Parental Level.
-- Fixed a bug in OE driver(again).
-- Fixed a bug that failed to sleep when you change the CPU clock.
-- Added a page controll in RecoveryMenu»Plugin.
-- Updated UMD Video mount. Now you can play UMD video/audio without dummy UMD.

Source