County stick with old ways to employ (13)
I believe the answer is:
staffordshire
'county' is the definition.
(I know that Staffordshire is a county council area)
'stick with old ways to employ' is the wordplay.
I cannot really see how this works, but
'stick' could be 'staff' (staff is a kind of stick) and 'staff' is present in the answer.
'old' could be 'o' (abbreviation) and 'o' is found in the answer.
'ways' could be 'rds' ('rd' is an abbreviation for 'road') and 'rds' is located in the answer.
'employ' could be 'hire' (synonyms) and 'hire' is found within the answer.
No letters remain.
This may be the basis of the clue (or it may be nonsense).
(Other definitions for staffordshire that I've seen before include "English county" , "County E. of Shropshire" .)