Crossword Genius

Erection obtained when wife touches everything (4)

Ross

I believe the answer is:

wall

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

'erection' is the definition.
The answer and definition can be both man-made objects as well as being singular nouns.
Perhaps you can see a link between them that I don't see?

'obtained when wife touches everything' is the wordplay.
I cannot really see how this works, but
'wife' could be 'w' (abbreviation) and 'w' is found within the answer.
'everything' could be 'all' (all things) and 'all' is found in the answer.
No letters remain.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?

(Other definitions for wall that I've seen before include "See 1" , "Brick construction" , "Side of building/room" , "See 14" , "Boundary of brick or stone" .)

I've seen this clue in The Independent.
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