I really must sit down for a minute and collect my wits, and have a drink.
That leaves you just ten minutes.
"Half a minute!" said Dori, who was at the back next to Bilbo, and a decent fellow.
In a minute there was a whole pack of them yelping all round the tree and leaping up at the trunk, with eyes blazing and tongues hanging out.
Only a minute or two after Balin’s lid had been fitted on there came the sound of voices and the flicker of lights.
He refused to wait five minutes, and followed immediately after the other two.
Gandalf whistled again; but Nori and Ori were there almost before he had stopped, for, if you remember, Gandalf had told them to come in pairs every five minutes.
"You had better wait here," said the wizard to the dwarves; "and when I call or whistle begin to come after me — you will see the way I go-but only in pairs, mind, about five minutes between each pair of you.
There are no more uses of "minuteness" in the book.