The woman with some fresh eggs (3)
I believe the answer is:
she
'the woman' is the definition.
(I've seen this before)
'with some fresh eggs' is the wordplay.
'with' indicates the answer is hidden within the clue.
'SHE' can be found hidden inside 'some fresh eggs'.
(Other definitions for she that I've seen before include "- - Loves You (Beatles)" , "Rider's novel" , "Female pronoun" , "lady" , "1887 Rider Haggard novel" .)