Pipemen having second thoughts about wood? (8)

I believe the answer is:

plumbers

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

'pipemen' is the definition.
I can't tell whether this defines the answer.

'second thoughts about wood?' is the wordplay.
'second thoughts' becomes 'ps' (as in a PS in a letter).
'about' indicates putting letters inside.
'wood?' becomes 'lumber' (I've seen this before).
'ps' going around 'lumber' is 'PLUMBERS'.

'having' is the link.

Can you help me to learn more?

(Other definitions for plumbers that I've seen before include "Pipe fitters" , "Water or gas installations their business" .)

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