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Running Light: 1 W LED Heatsink
The general idea: a cylindrical holder / heatsink for a 1 W LED on the end of a tube clamped in a Tour Easy fairing mount, much like a flashlight.
A pleasant evening at a virtual Squidwrench meeting produced the raw shape of the front end from a 1 inch aluminum rod:

1 W LED Running Light – heatsink raw Trace the outline of the LED’s PCB inside the cylinder just for comfort, align to the center, and drill two holes with a little bit of clearance:

1 W LED Running Light – heatsink drilling For the 24 AWG silicone wire I used, a pair of 2 mm holes 8.75 mm out from the center suffice:

1 W LED Running Light – heatsink fit Gnaw some wire clearance in the lens holder:

1 W LED Running Light – wiring Tap the central hole for an M3×0.5 screw, which may come in handy to pull the entire affair together.
Epoxy the PCB onto the heatsink with the lens holder keeping it aligned in the middle:

1 W LED Running Light – heatsink clamp Then see how hot it gets dissipating 900 mW with 360 mA of current from a 2.2 Ω resistor:

1 W LED Running Light – heatsink test As you might expect, it gets uncomfortably warm sitting on the bench, so it lacks surface area. The first pass will use a PVC cylinder for easy machining, but a full aluminum shell would eventually be a nice touch.
A doodle with some dimensions and aspirational features:

Running Light – 1 W LED case doodle Even without a lens and blinkiness, it’s attention-getting!