Started with pie (4)
I believe the answer is:
tart
'pie' is the definition.
(I've seen this before)
'started with' is the wordplay.
'with' indicates a hidden word.
'TART' is hidden in the letters of 'started'.
(Other definitions for tart that I've seen before include "Filled pastry dish" , "Professional woman" , "Acid-tasting; pastry" , "Bitter - sweet - floozie" , "Pie with fruit filling" .)