Very desirable bachelor perfectly erect (5)

I believe the answer is:

plumb

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'erect' is the definition.
(thesaurus)

'very desirable bachelor perfectly' is the wordplay.
'very desirable' becomes 'plum' (plum can mean excellent).
'bachelor perfectly' becomes 'b' (abbreviation e.g. BA=Bachelor of Arts. I am not sure about the 'perfectly' bit.).
'plum'+'b'='PLUMB'

Can you help me to learn more?

(Other definitions for plumb that I've seen before include "Precisely" , "Exactly - . . . . . in the middle" , "Check depth of water below" , "Get to the bottom of the matter or depths" , "Utterly" .)

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