Cryptic crossword clue
Eastern and northern mammals need rightpainkillers not left

The most common and most likely answer to this crossword clue is the 10 letter word ENDORPHINS

I've seen this crossword clue in Financial Times
E
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Buddy explains!

The straight part
We know that "painkillers" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case painkillers = endorphins.
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

ENDORPHINS noun
  1. Any of a group of peptide hormones found in the brain that act as neurotransmitters and have properties similar to morphine.

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