Put up with a road's quality (8)
I believe the answer is:
standard
'quality' is the definition.
(standard is a kind of quality)
'put up with a road's' is the wordplay.
'put up with' becomes 'stand' (both can mean to tolerate or bear).
'road' becomes 'rd' (abbreviation).
'stand'+'a'+'rd'='STANDARD'
(Other definitions for standard that I've seen before include "banner" , "Criterion, touchstone" , "Degree of quality" , "Flag - accepted level" , "Flag; criterion" .)