She succeeds in a woman’s current arts, we hear (10)

I believe the answer is:

inheritrix

'she succeeds' is the definition.
(an inheritrix is a female heir)

'in a woman's current arts we hear' is the wordplay.
'a woman's' becomes 'her' (belonging to a woman).
'current' becomes 'I' (symbol for electric current).
'arts' becomes 'tricks' (art can mean trickery).
'we hear' indicates a 'sounds like' (homophone) clue.
'tricks' sounds like 'trix'.
'in'+'her'+'i'+'trix'='INHERITRIX'

(Another definition for inheritrix that I've seen is " She succeeds".)

I've seen this clue in The Times.

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