Cryptic crossword clue
Very primitive voting system dubious American boxing club’s backing 11

The most common and most likely answer to this crossword clue is the 11 letter word PRECAMBRIAN

I've seen this crossword clue in The Guardian
P
R
E
C
A
M
B
R
I
A
N

Buddy explains!

The straight part
We know that "Very primitive" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case very primitive = precambrian.
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.

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