I had come in here to find something to cover him up with.
He will be trying to cover up all knowledge of our activities.
They had used the girl to cover up their action.
She just needs to cover up a little bit more sometimes!
And he made no effort at all to cover up his interest in the place.
But you don't have to cover up for her any more.
If she was trying to cover up some sort of deep hurt.
We try to cover them up, but history doesn't let go.
If anything does go wrong, they'll try to cover up, they always do.
The police seem to be trying to cover it up.