Enviroment
Cloudberries grow in moist soil near bogs and marshes. Female flowers are damaged by temperatures below -2C (28.4F), and male flowers are damaged by temperatures below -4C (24.8F). Both are damaged by consecutive nights below 0F (32F). At some point during development, fruits become resistant to temperatures as low as -4C (24.8F) to -3C (26.6F). I'm not sure which hardiness zone cloudberries can survive in, but it is does grow in the arctic zone, so it should at least be zone 3 and possibly zone 1.

Cloudberries tolerate shade.
Pollination
cloudberries are predominately dioecious (female plants require a male pollinator). Hermaphrodite flowers have been observed, but outside of the cultivar "Nyby", they are rare and sporadic. Blossoms last 2-3 days, and the flowering period of the entire population is spread out over a period of 2 weeks.
Yield
yields are quite low (an average of 300 kg/ha), even when compared to other wild berries.
Soil
preferred pH: 2.5 to 4.5. acceptable pH: up to 6.1.
Other
Cloudberries grow up to 4 to 10 inches in height and primarily spread through woody rhizomes, which can be found anywhere from the surface down to 12 inches within the soil. The berries ripen roughly 35 days after pollination and typically weigh 1 to 2 grams, if they were pollinated during good weather. Some berries up to 6.5g have been found, but in many cases, this is partially attributed to larger seeds.

Few cultivars exist, and they are hard to find. Based on two studies, on different continents, the Fjordgull cultivar is clearly superior to the Fjellgull cultivar, but in what exact ways, it does not say.

Cloudberries can be propagated through cuttings. Best results are acheived when they are roughly 9 inches long and planted 2 inches deep in moist, low density soil during the fall.

A high level of benzoic acid allows the berries to store in the refrigerator for several weeks.
Additional Reading
Production of Berries in Peatlands
Flora of the Canadian Arctic Archipelago
Commercialization of the Cloudberry (Rubus chamaemorus L.) in Norway