Looks more like Heuchera than Tiarella to me, though there are hybrids.

So it's worth saving and transplanting into a shady bed. Wonderful! Thank you both for your input - it's much appreciated!

Second the vote for Heuchera.

Closer view needed, flowers would really help also. So far the way leaves are spaced out in a patch-like manner at ground level doesn't seem right for Heuchera.

Sorry for the slow reply. There are no flowers or flower stems growing (yet?). The leaves are growing in clusters. Hopefully these pictures are more helpful.

I agree that the stand-up form is kind of unusual for heuchera, but the stems down at the base look right. Pretty-colored leaves. It could be one of the native heucheras which tend to have larger leaves.

Post originates in Sweden, Heuchera is native to North America. Unless there is some reason to think plant asked about came from gardening activity I would focus on references describing Swedish native plants, in particular any there may be from the saxifrage family.

Missed the Sweden part.