Broach the subject again as I wander in (5)

I believe the answer is:

raise

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'broach the subject' is the definition.
'raise' can be an answer for 'broach' (I've seen this in another clue). I'm unsure of the 'the subject' bit.

'again as i wander in' is the wordplay.
'again' becomes 're'.
'wander' is an anagram indicator.
'in' indicates putting letters inside.
'as'+'i'='asi'
'asi' anagrammed gives 'ais'.
're' enclosing 'ais' is 'RAISE'.

Can you help me to learn more?

(Other definitions for raise that I've seen before include "Amplify" , "Cultivate by growing" , "Aries (anag)" , "More money from America" , "Contact" .)

I've seen this clue in the Evening Standard.

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