Dog gets my German dish (4,4)
I believe the answer is:
chow mein
'dish' is the definition.
(chow mein is a kind of dish)
'dog gets my german' is the wordplay.
'dog' becomes 'chow' (chow is a kind of dog).
'gets' means one lot of letters go next to another.
'my german' becomes 'mein' ('my' in German).
'chow'+'mein'='CHOW-MEIN'
(Other definitions for chow mein that I've seen before include "take-away food" , "Chinese-style noodle dish" , "Chinese noodle dish" , "Chinese dish of noodles, meat and veg" , "Chop suey with noodles" .)