The most common and most likely answer to this crossword clue is the 6 letter word CORBYN
I've seen this crossword clue in Financial Times
C
O
R
B
Y
N
More clues leading to the result CORBYN
Buddy explains!

The straight part
We know that "29’s leader" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case 29’s leader = corbyn.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.