Rodent spotted in Birmingham's terrarium (7)
I believe the answer is:
hamster
'rodent' is the definition.
(I know that hamster is a type of Cricetinae)
'spotted in birmingham's terrarium' is the wordplay.
'spotted in' indicates a hidden word.
'HAMSTER' is hidden within 'birminghams terrarium'.
(Other definitions for hamster that I've seen before include "Kind of rodent with cheekpouches, often a pet" , "Small pet rodent with pouched cheeks" , "Little beast" , "Rodent often kept as pet" , "one running round in circles?" .)