Pick up article brought in by that woman (4)
I believe the answer is:
hear
'pick up' is the definition.
(hearing is a kind of picking up)
'article brought in by that woman' is the wordplay.
'article' becomes 'a' (the indefinite article in English).
'brought in by' means one lot of letters goes inside another.
'that woman' becomes 'her' (her refers to a woman).
'a' inserted within 'her' is 'HEAR'.
(Other definitions for hear that I've seen before include "receive information" , "learn" , "Pick up, aurally" , "Catch" , "Pay attention" .)