Take out something from palm (4)
I believe the answer is:
date
I believe this clue is a double definition.
'take out' is the first definition.
(take out on a date)
'something from palm' is the second definition.
(dates come from a variety of palm tree)
(Other definitions for date that I've seen before include "Sweet edible fruit" , "Sticky fruit" , "Stoned fruit" , "Go out with" , "Edible fruit with a long woody seed" .)