Are you looking for a gooseneck lamp? They even sell them specifically for music applications. You can get battery powered ones with LED lamps to clamp on music stands.
The GorillaPod is really a camera accessory. People are depending on these things to keep their expensive gear from falling over. The 11 lbs of camera the GorillaPod Focus could hold could potentially be worth $5000 or more. All of a sudden a $100 support ain't that expensive.
Really if all you want is to hold a lamp, the GorillaPod is probably overkill. However, if it is expensive gear that you are trying to support, it may be worth it. I've actually been considering one of the smaller ones to hold a Zoom recorder, they come with built in tripod mounts.
They also make gooseneck microphone mounts if you want to investigate that route. You'll be dealing with the ⅝″ 27 thread. There are also the British threads ¼″ BSW and ⅜″ BSW.