The phrase "a bit of authority" is correct and usable in written English.
It can be used to describe a small amount of power or influence someone has in a particular context.
Example: "In her role as team leader, she had a bit of authority to make decisions on behalf of the group."
Alternatives: "a touch of authority" or "a small degree of authority".
It was a manifestly pompous way of giving weak sculpture a bit of authority.
He's playing up his martyrology kind of authority so that he can exercise a bit of authority even over these other churches that he's writing too.
"You have to be a quick learner". A good dose of self-confidence is required too, he says, as grant writers may need to exert a bit of authority to convince scientists they know the right way to pen a proposal.
Admit when you're wrong -- but still show a bit of authority.
You may feel as if you've lost a bit of your authority and control over every last detail because you have—but that's okay.
And you are a bit of an authority on this because how much more important or bigger or touching could a song like "Superman" be?
Depending on who else is in the room with me, I'm either a child, or a figure of knowledge and (a teeny bit of) authority.
Your important question about why rare nectar-free plants would trick pollinators, but not herbivores as well, is a good one, and one that we can answer with a good bit of authority as we know much about what it takes to be an herbivore on this plant, particularly for M. sexta.
The program is in no hurry to unveil the full extent of the crimes, which lets you feel a bit of what the authorities must have felt as they started looking for one person and ended up with multiple bodies.
I joined the Army, but I was still drinking and I had a bit of a problem with authority.
It would be incredibly useful if AONBs had a bit of distance from local authorities.
