When a tree is cut down, have any fruits/branches/etc. that it still holds drop to the ground. It's only sensible that you'd take the little things that currently vanish. Don't have them go to the inventroy, of course, since that could get annoying when you're just looking for lumber.
In fact, since you aren't keeping the tree alive, how about having them drop a few additional branches when cut?
Also, let us build fires with one chunk or five branches; that way we can get use out of chunks and stumps even if we aren't actively using them.
Alternatively, have a way to turn chunks into sticks- maybe right-click->split to make four or five sticks.
Consider decreasing the amount of stamina used to dig, since there is a limit to the amount you can recover from a point, and/or increasing the worm yield, so that using them as bait is a bit more plausible. Currently, you'll starve to death because the digging takes more food than you can get.
Also, get rid of the abacus you're using as a web server and maybe consider getting something with vacuum tubes or some other electronic calculator.