After time, one fitting out ship set off (7)
I believe the answer is:
trigger
'set off' is the definition.
('trigger' can be a synonym of 'set off')
I don't understand how the rest of the clue works.
Can you help me to learn more?
(Other definitions for trigger that I've seen before include "Cause (device) to operate" , "Roy Rogers' horse" , "trip" , "Gun release mechanism" , "Initiate" .)