"A spring in paradise"... certainly comes across as more than slightly pretentious. The name itself is fairly charming, on the other hand. I admit that I associate it in my mind with a Tasmanian Devil, hah.Regrettably, it is unusable in the United States for fear it will appear "kre8tib." If you are of the name's ethnic origin and possess an appropriate surname, there may be a chance.
Can also be spelled Tasneem. I know a Syrian girl with this name and that's how she spells it. I think it's a very lovely sounding name and Taz is a cute nickname for it.