Crossword Genius

Detective in midst of storm pursuing soldier (7,3)

Ross

I believe the answer is:

private eye

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

'detective' is the definition.
(I've seen this before)

'midst of storm pursuing soldier' is the wordplay.
'midst of storm' becomes 'eye' (I can't justify this - if you can you should believe this answer much more).
'pursuing' is a charade indicator (letters next to each other).
'soldier' becomes 'private' (I've seen this before).
'eye' put after 'private' is 'PRIVATE EYE'.

'in' is the link.

Can you help me to learn more?

(Other definitions for private eye that I've seen before include "Investigative satirical magazine" , "Freelance detective" , "supplement to work of police?" , "Spade, say" , "investigator" .)

I've seen this clue in The Independent.
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