If this is Haliclona blue sponge - check Google Image search by name or see mine
here - most had problems with it, very few had it a for a long time or actually seen it growing new parts.
I bought mine with necrotic white parts (the large channel was blocked by agaronite, but this was not visible outside), it died within days in tank, where other sponges did fairly well. Later it was fragged (necrotic parts removed) and placed in separate tank, but it didn't help.
I have strong suspicion, that it caused the only tank crash I had, that wiped out sea stars, sea cucumbers (they were later victims, not the cause), sps, bleached to snow white color porites, blinded fish (had to put them to sleep), crustaceans were not affected at all. LPS and softies contracted, were depressed for some time, but survived.
I was told, that it is not because the Hliclona is particularly bad, but because sponges, when dieing, are releasing the toxic compounds. I had other sponges dieing in the tank - orange ball, spiny orange sponge, orange tree sponge, candycane or spider sponge and some hitchhiker sponges, while some other hitchhiking sponges are doing perfectly OK in the same tank - none of them caused such devastation.
BTW, it was never exposed to air, at least in my presence.
Here are some links to Haliclona requirements (note, that there are more than one Haliclona species and not all all blue sponges, called Haliclona are Haliclona in reality):
- It is photosynthetic and requires high light (
1,
2,
3).
- few notes from keepers (
1).
You can find much more by search fir this name.