Becomes narrower; thin fire-lighting strips (6)

I believe the answer is:

tapers

(Other definitions for tapers that I've seen before include "Prates about candle lighters" , "Long thin candles" , "Narrows toward a point" , "Repast with slender candles" , "Prates about slender candles" .)

I've seen this clue in The Times.

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