The most common and most likely answer to this crossword clue is the 7 letter word CONIFER
I've seen this crossword clue in The Times
C
O
N
I
F
E
R
More clues leading to the result CONIFER
- Exchange views about one pine, perhaps
- Have discussion about island tree
- Talk about one that's spruce?
- I must stop talk about one branching out
- Tree: talk about one
- Tree to discuss, one to cut through
- Perhaps pine after one’s broken award
- Talk to others about setter in tree
- One’s usually needled when neighbours go bare
- Talk together about single evergreen tree
Buddy explains!

The straight part
We know that "one branching out" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case one branching out = conifer.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 CONIFER mean?
CONIFER noun- A plant belonging to the order Coniferales; a cone-bearing seed plant with vascular tissue, usually a tree.