Will trees continue to grow if I don't cut them down completely?
I get bored of cutting down trees and having to go re-seed the world with acorns. Then I had a brainwave and decided to cut down the tree but leave the stump in place, like so:
So, will these grow back? I did this a little while ago and there appears to be no signs of regrowth (although this is possibly because of the corruption). If that doesn't work, if I cut them a little higher, leaving say 2-3 blocks, will that help instead?
No. Once the tree has grown, it is done growing forever. You will need to clear space on the ground and plant acorns if you want more wood.