Crossword Genius

A requisite for the light sleeper? (7,4)

Ross

I believe the answer is:

bedside lamp

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'sleeper?' is the definition.
I know nothing about this answer so I cannot tell whether it can be defined by this definition.

'a requisite for the light' is the wordplay.
'a requisite for' becomes 'bedside' (I can't explain this - if you can you should believe this answer much more).
'the light' becomes 'lamp' (lamp is a kind of light).
'bedside'+'lamp'='BEDSIDE LAMP'

Can you help me to learn more?

I've seen this clue in The Irish Independent.
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