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Out at night, more so than usual - it's what she might do awaiting the handsome prince (9)

Ross

I believe the answer is:

oversleep

I'm a little stuck... Click here to teach me more about this clue!

'out' is the definition.
Although both the answer and definition are verbs in their base form, I cannot understand how one could define the other.

'night more so than usual it's what she might do awaiting the handsome prince' is the wordplay.
I cannot quite see how this works, but
'more' could be 'over' (I've seen this before) and 'over' is found within the answer.
'she' could be 'lee' and 'lee' is found in the answer.
'prince' could be 'p' (abbreviation) and 'p' is located in the answer.
A single letter 's' remains which might be clued in a way I don't understand.
This explanation may well be incorrect...

'at' is the link.

Can you help me to learn more?

(Other definitions for oversleep that I've seen before include "rest too long?" , "not be able to get up" , "entranced too long" , "Wake too late" , "rest, ignoring alarm?" .)

I've seen this clue in The Irish Times.
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