The most common and most likely answer to this crossword clue is the 5 plus 5 letter word ADAMS APPLE
I've seen this crossword clue in Financial Times
A
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More clues leading to the result ADAMS APPLE
- Body part very softly separating water
- Water to swallow very quietly in throat part
- Very tempting to eat, but it’s stuck in the throat
- Papa’s medal could produce a lump in the throat
- Bit of the bible, perhaps, that stuck in my throat?
- Desperate appeals to protect mother producing a lump in your throat
- What might bring a lump to one’s throat
- Engineer appeals about barrier, wobbly thing in pipe below head
- Characteristic of a man to be very quiet in water
- Awfully mad appeals –- male, in particular, gets it in the neck
Buddy explains!

The straight part
We know that "a lump in the throat" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case a lump in the throat = adams apple.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.