Crossword Genius

Tired out with husband about daughter - split’s improvident (11)

Ross

I believe the answer is:

spendthrift

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'improvident' is the definition.
(thesaurus)

'tired out with husband about daughter split's' is the wordplay.
I cannot quite see how this works, but
'husband' could be 'h' and 'h' is present in the answer.
'daughter' could be 'd' (genealogical abbreviation) and 'd' is found in the answer.
'tired' could be 'spent' (similar in meaning) and 'spent' is found in the remaining letters.
'split' could be 'rift' (I've seen this in another clue) and 'rift' is located 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 spendthrift that I've seen before include "Irresponsible user of money" , "Squanderer" , "Extravagantly spending person" , "Irresponsible waster of money" , "Extravagant" .)

I've seen this clue in The Independent.
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