Perk for those departing, relieved of responsibility (4-4)
I believe the answer is:
duty-free
'perk for those departing' is the definition.
'relieved of responsibility' is the wordplay.
I cannot really see how this works, but
'responsibility' could be 'duty' ('duty' can be a synonym of 'responsibility') and 'duty' is present in the answer.
The remaining letters 'free' is a valid word which might be clued in a way I don't see.
This may be the basis of clue (or it may be nonsense).
(Other definitions for duty-free that I've seen before include "Not subject to tax, as at airports" , "without obligation?" , "Goods exempt from tax" , "Exempt from import levy" , "No tax payable as in airports" .)