If i play Premature and my opponent chains Anti-spell fragrance, does premature go through?

No because Anti-Spell Fragrance does not negate a spell card's activation or effect, it just makes it so that any other spell card (from that point foward) must be set on the field for the time listed on the trap card (can't remember exactly what it says cuz I don't have it in front of me).

So i dont get a monster?

Bah, I'm sorry that didn't come out right.

Yes you get a monster, no premature doesn't get negated.

I thought so. Thanks magus.

It's basically a similar situation to targeting a Dragon-Type monster and then an effect chaining to bring Lord of D./King Dragun face-up to your field.

The activation and targeting has already taken place before Lord of D./King Dragun was face-up (since they do not negate the activation or effect of cards, just prevents targeting in general), so they will not suddenly intervene and prevent "rewind" to prevent the targeting. The Dragon would still be targeted and only things afterwards, now, could not target Dragons now that they're face-up.

Very similar case.

Premature Burial activates, Anti-Magic Fragrance is chained, but Continuous Traps' effects are not active until they are face-up on the field.

By the time Anti-Magic Fragrance is actually resolved successfully and is face-up on the field, Premature Burial is already activated and currently resolving. Only afterwards will Magic Cards have to be Set first.