Crossword Genius

Female detective in time becomes mediocre (7)

Ross

I believe the answer is:

average

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

'mediocre' is the definition.
(I know that mediocre can be written as average)

'female detective in time' is the wordplay.
'female detective in' becomes 'aver' (I can't justify this - if you can you should believe this answer much more).
'time' becomes 'age' (an age is a period of time).
'aver'+'age'='AVERAGE'

'becomes' is the link.

Can you help me to learn more?

(Other definitions for average that I've seen before include "Normal in arithmetic way" , "Mediocre, commonplace" , "Arithmetically ordinary?" , "Of no exceptional quality or ability" , "About normal or usual" .)

I've seen this clue in The Sun.
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