The most common and most likely answer to this crossword clue is the 11 letter word JUXTAPOSING
I've seen this crossword clue in The Times
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Buddy explains!

The straight part
We know that "Putting together" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case putting together = juxtaposing.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.
Crossword Answer definitions
JUXTAPOSING verb- To place side by side, especially for contrast or comparison.
- An act of juxtaposition.