I think 2 key characteristics of EDC items are: 1) Ultra-portable; and 2) Won't make me look like a douche. So when it comes to consistent access to a light, headlamps and EL wire hoodies are pretty much out. But a micro LED watchband attachment? That could work.
Gearward's Watch Flashlight is a simple assembly of a Photon Micro LED push light, Ranger bands, and a clip that secures to your existing wristwatch's band. If you wear your watch 24/7, you'll now have 24/7 power to illuminate the darkness, without sacrificing the use of both hands, or trying to find a spot to position, stabilize, and aim a separate flashlight. As one of the above photos depicts, this proves very useful when trying to unlock a door at night. Especially if you don't have the key....
The Watch Flashlight includes a 4.5 Lumen light with an 18-hour runtime, a universal mount for watch attachment, and 2 sets of Mini and Micro Ranger Bands to keep the light affixed to its clip. The light itself has an IPX-7 waterproof rating, so it's safe to wear in the shower and pool.