"Might be a good idea to lie low for a while," Lucas said.

Why don't you lie down here for a little while?

You're going to have to lie low for a while.

"Maybe he thinks it's best to lie low for a while."

If it is the second, I suggest that you lie down in your cabin for a while.

It would be possible to lie here for a little while, to sleep in her arms.

He came here, to this out of the way place, to lie low for a while.

So shut up and let it lie for a while.

"If that's where you keep your prayer books, better let them lie for a while yet."

Better lie low on him for a while; the exposure's too great at the moment.