I really like this idea. The logline needs some work.
At 51 words, it's too long. Even for a TV series.
I think you can strip out "with a rare form of the sensorial condition Synesthesia". Instead, you could put syntesthete (which is the technical term) but my concern is that people might not know what synesthesia is. My suggestion is just to go with "destitute 34-year-old with synesthesia". We don't need to know he has a rare form really, and if you don't know what it is then saying that it's a sensorial condition won't help. If you do know, then you'll know that's what it is.
Why just see, hear, and feel? Throw taste and smell into the mix.
If he's anonymously saving people, how will this turn his life around. Consider Bruce Almighty. He makes things happen in order to report on them and become "Mr. Exclusive" - he does it for selfish means in order to get the fame he desires. If your guy were say a journalist? Or a cameraman? Photographer? A cop? We could understand why this could make him loads of money and get him out of destitution. But as it is, I'm unsure how if he's anonymously doing things. We know he's poor, so there's gotta be financial rewards for whatever he does (otherwise why tell us he's destitute) anonymity is not an option. The good thing about him getting rewarded for this stuff is the question about morality it poses.
"5 second glimpses of disastrous near-future events that will occur at his present physical location" ?- I reckon there's a way to trim this.
When a botched clinical trial leaves him having sensory precognition of disastrous events, a struggling journalist must figure out a way to use these abilities to save lives and ?revive his career. (32 words)
I would watch this show!
A superhero needs a super villain... that's the S1 finale. He's not the only one.
Title-wise - I'm not sure this works. A savant is someone with a developmental disorder who displays brilliance in a limited field. To me, that doesn't describe this guy. My suggestion - "Precognitive" or "Pre-Sense" / "Presense". I like Presense cos it's kinda like presence. Double(ish) meaning is always good.
Hope this helps.