Cryptic crossword clue
Trump’s nightly tweeting starts to get explosive 15

The most common and most likely answer to this crossword clue is the 15 letter word TRINITROTOLUENE

I've seen this crossword clue in The Guardian
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Buddy explains!

The straight part
We know that "explosive" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case explosive = trinitrotoluene.
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 TRINITROTOLUENE mean?

TRINITROTOLUENE noun
  1. A highly explosive yellow crystalline substance, (CH3C6H2(NO2)3), obtained by reacting nitric acid with toluene

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