I shriek aloud for this food (3,5)
I believe the answer is:
ice cream
'i shriek aloud for this food' is the definition.
'ice cream' can be an answer for 'food' (ice cream is a kind of food). I'm not sure about the remainder of the definition.
'shriek aloud for this food' is the wordplay.
'shriek aloud' becomes 'cream' (I can't justify this - if you can you should believe this answer much more).
'for' means one lot of letters go next to another (I've seen this in other clues).
'this food' becomes 'ice' (ice is a kind of food).
'cream' put after 'ice' is 'ICE-CREAM'.
Can you help me to learn more?
(Other definitions for ice cream that I've seen before include "Hot day treat" , "Party food" , "Frozen desert" , "Creamy frozen confection, best in summer" , "Eric came to get confection" .)