Could be one who takes their rest during the day? (5,7)

I believe the answer is:

light sleeper

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'could be one who takes' is the definition.
I don't know anything about this answer so I can't tell whether it can be defined by this definition.

'rest during the day?' is the wordplay.
'rest' becomes 'light' (light can mean to land or rest on the ground).
'during the day?' becomes 'sleeper' (I am not sure about this - if you are sure you should believe this answer much more).
'light'+'sleeper'='LIGHT SLEEPER'

'their' is the link.

Can you help me to learn more?

I've seen this clue in The Irish News.

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