Woman going to big town to find the truth (8)
I believe the answer is:
veracity
'the truth' is the definition.
(I've seen this before)
'woman going to big town' is the wordplay.
'woman' becomes 'vera' (a woman's name).
'going to' says to put letters next to each other.
'big town' becomes 'city' (I've seen this before).
'vera'+'city'='VERACITY'
'to find' acts as a link.
(Other definitions for veracity that I've seen before include "Exactitude" , "Truth" , "Truthfulness, accuracy" , "Habitual truthfulness" .)