Caledonian may be put out by this cost (8)
I believe the answer is:
scottish
'caledonian' is the definition.
(Caledonia was the Latin name for Scotland)
'put out by this cost' is the wordplay.
'put out' is an anagram indicator.
'by' means one lot of letters go next to another.
'this' put after 'cost' is 'costthis'.
'costthis' with letters rearranged gives 'SCOTTISH'.
'may be' acts as a link.
(Other definitions for scottish that I've seen before include "northern folk" , "From north of the border" , "tongue" , "Costs hit this nationality badly" , "Caledonian" .)