She runs a peaceful branch (5)
I believe the answer is:
olive
'branch' is the definition.
(I have seen 'Branch of peace ' mean 'olive' so perhaps 'branch' could also mean 'olive')
'she runs a peaceful' is the wordplay.
I cannot really understand how this works, but
'she' could be 'liv' and 'liv' is found within the answer.
The remaining letters 'oe' is a valid word which might be clued in a way I don't see.
This may be the basis of the clue (or it may be nonsense).
Can you help me to learn more?
(Other definitions for olive that I've seen before include "Girl's name - colour" , "This branch is offered to show peace" , "Stoned fruit" , "shades of green" , "Oil-producing fruit" .)