Great Dane running around place for outdoor refreshments (3,6)
I believe the answer is:
tea garden
'place for outdoor refreshments' is the definition.
(garden where tea is served)
'great dane running' is the wordplay.
'running' indicates an anagram.
'great'+'dane'='greatdane'
'greatdane' anagrammed gives 'TEA-GARDEN'.
'around' acts as a link.
(Other definitions for tea garden that I've seen before include "area for refreshments" , "Open-air cafeteria" , "trombonist" , "Kind of plantation" , "Outdoor eating area" .)