Around an hour after midnight, sees stray cat (7)
I believe the answer is:
siamese
'cat' is the definition.
(Siamese is an example)
'around an hour after midnight sees stray' is the wordplay.
'around' is an insertion indicator.
'an hour after midnight' becomes 'iam' (1am).
'stray' is an anagram indicator.
'sees' with letters rearranged gives 'sese'.
'iam' placed inside 'sese' is 'SIAMESE'.
(Other definitions for siamese that I've seen before include "Twin" , "Cat - Thai?" , "Cat with slanting blue eyes and pale fur with darker points" , "sort of twins" , "Thease twins are joined at birth" .)