Song of the broody hen? (3)

I believe the answer is:

lay

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'song' is the definition.
(poetic term for a song)

I don't understand the remainder of the clue.

(Other definitions for lay that I've seen before include "Not a religious" , "Place (bet)" , "bed" , "Put down (eg, card)" , "Non-clerical, amateur" .)

I've seen this clue in the Evening Standard.

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