The thing you shouldn't do to your neighbour's tree roots - even if they cross your garden boundary
Briefly

Homeowners have the right to trim tree roots encroaching onto their property, but this must be done responsibly to avoid damaging the tree. Cutting roots without consideration can lead to legal complications or fines. It is important to identify the boundary clearly and only to prune from one’s own side. Additionally, improper cutting can harm the tree's structural integrity, increasing risks during adverse weather conditions.
"You have a common law right to remove tree roots that encroach onto your property, provided you do so from your side of the boundary, however, you must exercise reasonable care to avoid causing unnecessary damage to the tree."
"Cutting structural roots can compromise the stability of the tree, especially during storms."
Read at Homebuilding
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