Crossword Genius

Go with person, say, after work to find cheap cafe (6,5)

Ross

I believe the answer is:

greasy spoon

I'm a little stuck... Click here to teach me more about this clue!

'cheap cafe' is the definition.
'greasy spoon' can be an answer for 'cafe' (I've seen this before). I am not certain of the 'cheap' bit.

'go with person say after work' is the wordplay.
'with' means one lot of letters go next to another.
'after work' indicates anagramming the letters (I've seen 'after working' mean this).
'person'+'say'='personsay'
'go' put after 'personsay' is 'personsaygo'.
'personsaygo' with letters rearranged gives 'GREASY SPOON'.

'to find' acts as a link.

Can you help me to learn more?

(Other definitions for greasy spoon that I've seen before include "Cheap, often insanitary, cafe" , "snack bar" , "Cafe (sl.)" , "Naff caff" , "Roadside cafe" .)

I've seen this clue in The Guardian.
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