Does such a girl need something to put over her? (5)

I believe the answer is:

cover

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I'm afraid I can't explain this answer.

(Other definitions for cover that I've seen before include "the point of cricket" , "Extend over (an area)" , "Totally obscure" , "Protect - insure" , "(Put) lid (on) - fielding position - insurance" .)

I've seen this clue in the Evening Standard.

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