In Surprised by Joy C S Lewis talks about how much he hated going to parties at a certain age. He says
To me it was all inexplicable, unprovoked persecution; and when, as often happened, such engagements fell in the last week of the holidays and wrested from us a huge cantle of hours in which every minute was worth gold, I positively felt that I could have torn my hostess limb from limb.
A cantle can be part of a saddle but here it is a corner, segment, or portion; a piece.
They are here set down, most holy father, upon a cantle of sheep-skin Conan Doyle in The White Company