Catch woman's aria finally coming in (4)
I believe the answer is:
hear
'catch' is the definition.
(thesaurus)
'woman's aria finally coming in' is the wordplay.
'woman' becomes 'her' (**).
'finally' says to take the final letters.
'coming in' is an insertion indicator.
The last letter of 'aria' is 'a'.
'her' placed around 'a' is 'HEAR'.
(Other definitions for hear that I've seen before include "to judge" , "Discover aurally" , "Perceive audibly" , "Perceive by the auditory sense" , "Catch" .)