In some old guide books and leaflets this old "must see activity" still exists. Sadly it was closed in autumn 2001 due to financial reasons.
I heard once it was still open it was really worth visiting, but Tromsø City didn't have enough money to keep it alive or with other words the short "tourist season" up in the North wasn't long enough to create enough revenue.
Now the building is partly used by university for courses or for special events by companies.
Fun Alternatives: If you should go here anyway, you still can visit the botanical garden (just down the slope) or the university area with some quite special buildings.
The North Cape is a real tourist trap. There they have builded a huge subterranean tourist centre where you can buy expensive drinks and watch the midnight sun. The point is that the whole northcape area is very touristic and it costs a lot of money to enter. They say it's the most northernly point of Europes mainland but that isn't true either. First of all it's an island. Second, across the fjord to the east there is a point that IS mainland AND lies more northernly AND is free to enter. Apart from all this complaining, it still is a nice experience to see the midnight sun there around 21 july, but be warned!
Sorry, yes, I know it is nice church but who ever make a trip above the arctic circle, I think it is wasted spending your time inside churches. It was enough seeing it from the outside.