The most common and most likely answer to this crossword clue is the 4 plus 3 letter word BEAR HUG
I've seen this crossword clue in The Daily Telegraph
B
E
A
R
H
U
G
More clues leading to the result BEAR HUG
- Stomach three-quarters oversize? This’ll flatten it!
- Put up with big, unending embrace that’s painful?
- Paddington’s welcoming gesture?
- Suffer tailless monster’s grip
- Put up with very big, endless squeeze
- Endure endlessly monstrous and uncomfortable embrace
- Titanic is docked after transport — it’s a tight squeeze
- Carnivore and tailless mammoth in strong embrace
Buddy explains!

The straight part
We know that "it’s a tight squeeze" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case it’s a tight squeeze = bear hug.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.