The most common and most likely answer to this crossword clue is the 4 letter word BINE
B
I
N
E
Buddy explains!
The straight part
We know that "Climbers’ support" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case climbers’ support = bine.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 BINE mean?
BINE noun- A climbing plant which climbs by its shoots growing in a helix around a support (distinct from a vine, which climbs using tendrils or suckers).
- Cigarette