Many of the large-flowered hybrid varieties of clematis do well in shade.
However, they prefer to get a little bit of sunlight, so perhaps grow them up a fence where the very top of the plant can reach the light.
Clematis montana is a vigorous grower that will grow in light shade. It has white flowers with four petals and flowers from late spring to early summer.
‘Van Gough’ is an excellent cultivar that blooms early in cherry-pink and continues for up to six weeks.