Typically English establishment, Australian native inside? (3,4)
I believe the answer is:
tea room
'typically english establishment' is the definition.
I know nothing about this answer so I cannot judge whether this works.
'australian native inside?' is the wordplay.
'australian' becomes 'roo' (short for kangaroo - Australian animal).
'native' becomes 'team' (I can't explain this - if you can you should believe this answer much more).
'inside?' indicates putting letters inside.
'roo' inserted within 'team' is 'TEA-ROOM'.
Can you help me to learn more?
(Other definitions for tea room that I've seen before include "Place in which a cuppa is served" , "Where light refreshments are served" , "Place for light refreshments" , "Small restaurant or cafe" .)