Dish's American publicity impresses mothers (5,4)
I believe the answer is:
mushy peas
'dish's' is the definition.
I don't know anything about this answer so I cannot tell whether it can be defined by this definition.
'american publicity impresses mothers' is the wordplay.
I cannot quite understand how this works, but
'american' could be 'us' and 'us' is found in the answer.
'publicity' could be 'hype' (hype is a kind of publicity) and 'hype' is present in the answer.
'mothers' could be 'mas' (ma is a kind of mother) and 'mas' is located in the remaining letters.
This accounts for all the letters.
This explanation may well be incorrect...
Can you help me to learn more?
(Other definitions for mushy peas that I've seen before include "Accompaniment to fish?" , "Vegetable to go with fish and chips?" , "Pulpy green food" , "Processed vegetables" , "Squashed green foodstuff" .)