On large area, cleared out tree with four branches (7)

'four branches' is the definition.
I don't know anything about this answer so I can't tell whether this works.

'on large area cleared out tree' is the wordplay.
'on' says to put letters next to each other.
'large area' becomes 'tract' (tract is a kind of area. I am not sure about the 'large' bit.).
'cleared out' says to hollow out the word (remove centre letters).
'tree' with its middle removed is 'te'.
'tract' put after 'te' is 'TETRACT'.

'with' acts as a link.

Can you help me to learn more?