Chant fragments of melody one at a time (6)

I believe the answer is:

singly

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'one at a time' is the definition.
(eg not in pairs)

'chant fragments of melody' is the wordplay.
'chant' becomes 'sing' (chant can mean to sing).
'fragments of melody' becomes 'ly' (I am not sure about this - if you are sure you should believe this answer much more).
'sing'+'ly'='SINGLY'

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(Another definition for singly that I've seen is " One by one".)

I've seen this clue in the Evening Standard.

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