Like rich pastries to rush out and bring back in (6)
I believe the answer is:
danish
'back in' is the definition.
Although both the answer and definition are adjectives, I cannot see how they can define each other.
'like rich pastries to rush out and' is the wordplay.
I cannot really understand how this works, but
'like' could be 'ish' (similar in meaning) and 'ish' is located in the answer.
an anagram of 'and' is 'dan' which is located in the answer.
No letters remain.
This explanation may well be incorrect...
'bring' acts as a link.
Can you help me to learn more?
(Other definitions for danish that I've seen before include "Pastry, from Copenhagen say" , "Scandinavian language" , "Had sin (anag)" , "course includes article / noun combination" , "Hamlet was and bacon may be" .)