Cryptic crossword clue
Playing impromptu, former speed’s hotting up

The most common and most likely answer to this crossword clue is the 13 letter word EXTEMPORISING

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

The straight part
We know that "Playing impromptu" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case playing impromptu = extemporising.
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 EXTEMPORISING mean?

EXTEMPORISING verb
  1. To do something, particularly to perform or speak, without prior planning or thought; to act in an impromptu manner; to improvise.
  2. To do something in a makeshift way.
  3. To make or create extempore.
  4. To compose extemporaneously or improvise.

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