You will enjoy beavering away to find out.
But because some people are beavering away at individual perceived problems, it gives us the false impression of progress.
Even if only simple cells lived on that world, they had been beavering away for a long time to good purpose.
Delays cost us and the airlines a lot of money, so we'll be beavering away to solve your problem as quickly as possible.
Employ a few thousand out of work accountants and get them beavering away on tax avoidance.
He'd been beavering away thinking he's gotten himself into the big game, only to discover that there was an even bigger game going on!
They're all out there beavering away at their terminals right now.
They have been beavering away at the city without any accountability.
He is "beavering away at home undisturbed by colleagues."
Otherwise, in my view, we are beavering away at the symptoms, but not the causes.