I know this plant as Variegated Redtwig Dogwood (Cornus alba 'Elegantissima')--it has the white edge around green leaves, Red twigs look great in winter.
It will grow with little or no direct sun, but will be somewhat sparse and sometimes gets fungus/powdery mildew in late summer on the leaves if it's a moist area. You can definitely prune this plant heavily. In fact, you'll need to cut it back to keep the twigs bright red, as older stems lose the red.
I usually recommend that people cut out the older stems every other year, and prune the whole thing down to about 2-3 inches tall on the opposite year (really). In the shade, you may want to just remove the older wood (right to the ground) and prune the newer branches back annually, depending on how vigorous the growth is....
This plant does need a fair amount of water, so keep that in mind.