Night light women switched on (3,4)

I believe the answer is:

new moon

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'night light' is the definition.
Both the answer and definition are singular nouns.
Perhaps they are linked in a way I don't understand?

'women switched on' is the wordplay.
'switched' indicates an anagram (I've seen 'switch' mean this).
'women' anagrammed gives 'newmo'.
'newmo'+'on'='NEW MOON'

Can you help me to learn more?

(Other definitions for new moon that I've seen before include "Crescent shaped lunar appearance" , "Start of month for some" , "Satellites phase" , "Heavenly crescent" , "Lunar narrow, waxing crescent" .)

I've seen this clue in The Telegraph.

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