I have a spot against the North side of the house that receives about 3 hours of morning sun. My clematis Hagley Hybrid has done well there. The only thing is it likely took a year or two more to really get thick and fill the trellis (it had the height but not the width for a few years). Now it grows just the right size each season to fill a small (four or five foot) trellis.

I also have some type of small blue flowered one that has okay in even more shade (though not as good as the Hagley one).

I did an internet search for "clematis shady area" and Nelly Moser clematis was also mentioned.

Along the west side of my house, between my house and the neighbors, I have a dropmore scarlet honeysuckle vine that also tolerates a spot with only a few hours of mid day sun. It gets lots of shade from my house, then the neighbors house later in the day.

If you like foliage there is also kiwi vine or virginia creeper. I moved an arctic beauty kiwi on the north side of the house last year and so far it seems to appreciate the protected site (last week's frost killed the leaves on the other kiwi in the yard, this one was protected by being against the house.)

You sort of just have to experiment and see what does well there. If research says a vine can tolerate part shade, then I'd be inclined to give it a try. If it says full sun only (and you confirm this on a few websites), then maybe that one wouldn't be such a good candidate.

Glen