Father's a Dane, wandering around city (8)
I believe the answer is:
pasadena
'city' is the definition.
(Pasadena is a city in California)
'father's a dane wandering' is the wordplay.
'father's' becomes 'pa's' (pa can mean dad or father).
'wandering' indicates anagramming the letters.
'dane' anagrammed gives 'dena'.
'pas'+'a'+'dena'='PASADENA'
'around' is the link.
(Other definitions for pasadena that I've seen before include "City in Los Angeles County" , "city in 23 [CALIFORNIA]" , "California city of the Rose Bowl stadium" , "Californian city" , "LA neighbour" .)