Hotel near Cambridge with no vacancies, naturally (8)
I believe the answer is:
innately
'naturally' is the definition.
(thesaurus)
'hotel near cambridge with no vacancies' is the wordplay.
I cannot really see how this works, but
'hotel' could be 'inn' (inn is a kind of hotel) and 'inn' is found within the answer.
This may be the basis of the clue (or it may be nonsense).
Can you help me to learn more?
(Other definitions for innately that I've seen before include "Inherently, instinctively" , "How kids react" , "from birth" , "Naturally, inherently" .)