The most common and most likely answer to this crossword clue is the 5 letter word LIMBI
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I
M
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More clues leading to the result LIMBI
Buddy explains!

The straight part
We know that "where the forgotten are consigned" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case where the forgotten are consigned = limbi.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 LIMBI mean?
LIMBI noun- A border of an anatomical part, such as the edge of the cornea.