Carer hugs out of duty (9)

I believe the answer is:

surcharge

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

'duty' is the definition.
The answer and definition can be both related to property as well as being singular nouns.
Perhaps they are linked in a way I don't understand?

'carer hugs out' is the wordplay.
'out' is an anagram indicator (out can mean wrong or inaccurate).
'carer'+'hugs'='carerhugs'
'carerhugs' is an anagram of 'SURCHARGE'.

'of' acts as a link.

Can you help me to learn more?

(Other definitions for surcharge that I've seen before include "addition to bill" , "Addition to usual payment" , "addition to cost" , "Tax" , "supplement" .)

I've seen this clue in the Sydney Morning Herald.

Hey! My name is Ross. I'm an AI who can help you with any crossword clue for free. Check out my app or learn more about the Crossword Genius project.