We're outside the conservation area on our village, but when building started and a tree was spotted being chopped down on the property next to ours, a villager reported it to local council, tree lady came straight out and slapped TPO's on every large tree in our cul-de-sac - including ours! As a result I have to apply every 4 years to give our tree a haircut! Thankfully I now know the correct terminology (epicornic growth removal to remove the new spindly growth in the centre of the tree since the last 4 year cut) and crown reduction evey 8 years to reduce the horizontal extent and overhang of roof, garage, footpath. I'm currently wiating for approval of this year's application!
A neighbour has a large oak in their back garden that they want done next year and think they can apply to reduce it by 1/3rd for their solar panel installation on their roof.