That gave me a moment to clear my head and try to put sense to what I was seeing.
He gave her a moment to move if she could.
I gave them a moment to follow that thought a few months, or years, into the future.
He turned away before she could answer, giving her a moment to think about it.
Give us a moment to clear a space for you and then pick your own time.
Give me a moment with these people and I'll talk to you about it.
You have not given the question a moment of your time.
If that is what you both want, give me a moment.
Could you just give us a moment to find that?
"So you decided to give me a moment of your time."