Vessel's cook found in Providence (7)
I believe the answer is:
frigate
'vessel's' is the definition.
(frigate is a kind of vessel)
'cook found in providence' is the wordplay.
'cook' becomes 'rig' (I've seen this in other clues).
'found in' means one lot of letters goes inside another.
'providence' becomes 'fate' (providence is fate or destiny).
'rig' put within 'fate' is 'FRIGATE'.
(Other definitions for frigate that I've seen before include "Type of warship" , "Light warship" , "Naval escort vessel" , "Warship - seabird" , "Warship; -- bird" .)