Portrait of a Young Woman / Meredith Frampton / 1935 / "Frampton said that he made this painting as 'a relaxation from commissions, and to celebrate an assembly of objects... beautiful in their own right'." -- from the Tate
Dryer sheets to the rescue! Best tip ever for releasing paper from intricate dies after cutting. And the paper stays in place exactly like you cut it. Works best with a metal precision plate as your base though.