Leaves home to go after green fruit grower (5,4)
I believe the answer is:
apple tree
'grower' is the definition.
I don't know anything about this answer so I can't judge whether it can be defined by this definition.
'leaves home to go after green fruit' is the wordplay.
'leaves home' becomes 'tree' (I've seen this in another clue).
'to go after' means one lot of letters go next to another.
'green fruit' becomes 'apple' (apple is a kind of fruit. I am not sure about the 'green' bit.).
'tree' after 'apple' is 'APPLE-TREE'.
Can you help me to learn more?
(Other definitions for apple tree that I've seen before include "Plant bearing pippins" , "Source of the growth that inspired Newton?" , "where Jonathan hangs out" , "may be source of windfall" , "fruitful growth" .)