Director to eat hat? (9)
I believe the answer is:
headscarf
'hat?' is the definition.
Both the definition and answer are singular nouns.
Perhaps you can see a link between them that I can't see?
'director to eat' is the wordplay.
'director' becomes 'head' (I've seen this in another clue).
'to eat' becomes 'scarf' (I can't justify this - if you can you should believe this answer much more).
'head'+'scarf'='HEADSCARF'
Can you help me to learn more?
(Other definitions for headscarf that I've seen before include "adornment for loaf" , "top dressing put on by woman" , "Ladies' garment" , "This may afford some protection" .)