The most common and most likely answer to this crossword clue is the 5 plus 4 letter word OLIVE TREE
I've seen this crossword clue in The Guardian
O
L
I
V
E
T
R
E
E
More clues leading to the result OLIVE TREE
- Large plant as it happens in books, always coming up
- One bearing fruit to relieve poor
- Source of peace symbol appearing as repeated note by tenor in musical
- Going out to relieve bearer of fruit
- Source of fruit possibly making Eve loiter
- Oil producer in riot with levee being destroyed
- Evergreen in Eliot’s verse ‘withered with no trace of sun’
- Bearer of fruit to relieve badly off
- Bearer of fruit to relieve poor
- Fruitful source of oil
Buddy explains!

The straight part
We know that "Evergreen" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case evergreen = olive tree.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.