Edifice one possibly rents on the motorway (7)
I believe the answer is:
minster
'edifice' is the definition.
(minster is a kind of edifice)
'one possibly rents on the motorway' is the wordplay.
'one' becomes 'i' (Roman numeral).
'possibly' indicates anagramming the letters.
'on' means one lot of letters go next to another.
'the motorway' becomes 'M' (as in motorway names - Mi, M4 etc).
'rents' anagrammed gives 'nster'.
'i'+'nster'='inster'
'inster' after 'm' is 'MINSTER'.
(Other definitions for minster that I've seen before include "Clergyman" , "Large church (or cathedral at York)" , "Old monastic cathedral, such as York's" , "Abbey or priory church" , "Large important church" .)