Goods for which no responsibility is taken? (4-4)
I believe the answer is:
duty-free
'goods for which no' is the definition.
'duty-free' can be an answer for 'goods' (as in duty-free goods). I am unsure of the remainder of the definition.
'responsibility is taken?' is the wordplay.
'responsibility' becomes 'duty' (synonyms).
'is taken?' becomes 'free' (I can't explain this - if you can you should believe this answer much more).
'duty'+'free'='DUTY-FREE'
(Other definitions for duty-free that I've seen before include "without obligation?" , "Not subject to tax, as at airports" , "Non-taxable (imports)" , "Untaxed (booze, fags)" , "No tax payable as in airports" .)