The most common and most likely answer to this crossword clue is the 11 letter word MANUFACTURE
I've seen this crossword clue in The Daily Telegraph
M
A
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F
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More clues leading to the result MANUFACTURE
Buddy explains!

The straight part
We know that "Produce" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case produce = manufacture.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 MANUFACTURE mean?
MANUFACTURE noun- The action or process of making goods systematically or on a large scale.
- Anything made, formed or produced; product.
- The process of such production; generation, creation.
- A watch manufacturer that makes its own parts, rather than assembling watches from parts obtained from other firms.
- To make things, usually on a large scale, with tools and either physical labor or machinery.
- To work (raw or partly wrought materials) into suitable forms for use.
- To fabricate; to create false evidence to support a point.