Light equipment for miner and motorist (8)

I believe the answer is:

headlamp

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'light' is the definition.
(I know that headlamp is a type of light)

I don't understand how the rest of the clue works.

(Another definition for headlamp that I've seen is " Chief light on car".)

I've seen this clue in The Globe and Mail, The Guardian and The Telegraph.

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