Cryptic crossword clue
Big brave fighting against Conservatives at research centres 13

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

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Buddy explains!

The straight part
We know that "research centres" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case research centres = observatories.
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 OBSERVATORIES mean?

OBSERVATORIES noun
  1. A place where stars, planets and other celestial bodies are observed, usually through a telescope; also place for observing meteorological or other natural phenomena.
  2. A lookout (vantage point with a view of the surrounding area)

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