The most common and most likely answer to this crossword clue is the 6 letter word POMACE
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The straight part
We know that "Pulpy stuff" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case pulpy stuff = pomace.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does POMACE mean?
POMACE noun- The pulp that remains after a fruit has been pressed to extract the juice (or a nut, etc., has been pressed to extract the oil).
- Fish scrap.