Cryptic crossword clue
Get a grip on girl’s head in support of ritual murder 7

The most common and most likely answer to this crossword clue is the 8 letter word THUGGEE 

I've seen this crossword clue in The Guardian
T
H
U
G
G
E
E
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Buddy explains!

The straight part
We know that "ritual murder" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case ritual murder = thuggee .
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 THUGGEE  mean?

THUGGEE  noun
  1. A thug (member of band of assassins in India).
  2. The murder and robbery of groups of travellers in India.

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