Cryptic crossword clue
First to last, benefit in backing police is hard to fathom 7

The most common and most likely answer to this crossword clue is the 7 letter word DELPHIC

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

The straight part
We know that "hard to fathom" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case hard to fathom = delphic.
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 DELPHIC mean?

DELPHIC adjective
  1. Of or relating to Delphi or its oracles.
  2. Obscurely prophetic.
DELPHIC adjective
  1. Relating to a womb

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