Gentle sixteenth-century tune (12)

I believe the answer is:

greensleeves

(Other definitions for greensleeves that I've seen before include "Old air" , "that might be noticed when lying on the lawn" , ""My lady" of old folk song" , "Brownshirts would never display such" , "English folk song (not composed by Henry VIII!)" .)

I've seen this clue in The Guardian.

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