I am no expert at all, or from a medical field. But my understanding is, that long term effects of vaccines are effects that last for a long time, and not effects that tale a long time to manifest.

What we see bow is the rare side effects, like blood clots, in the 30 in 5 million range. These effects are close to impossible to discover in clinical trials, because they are too rare. Again, nothing really unusual.

Once the body developed anti bodies and general resistance, the vaccine doesn't have any effects anymore anyway. So either side effects, also in conjunction with other meds, manifest right after vaccination or they don't at all.