A sin eating Mary's stuffing and craving more (7)

I believe the answer is:

avarice

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'craving more' is the definition.
'avarice' can be an answer for 'craving' (thesaurus). I am not certain of the 'more' bit.

'a sin eating mary's stuffing' is the wordplay.
'sin' becomes 'vice'.
'eating' indicates putting letters inside.
'stuffing' says to take the centre.
The middle of 'mary' is 'ar'.
'vice' going around 'ar' is 'varice'.
'a'+'varice'='AVARICE'

'and' is the link.

Can you help me to learn more?

(Other definitions for avarice that I've seen before include "Insatiable lust" , "Cupidity" , "A deadly sin" , "Sway, control" , "Parsimony" .)

I've seen this clue in The Times.

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