A \*lot\* of kids stutter as they develop, and the vast majority recover spontaneously. I've ID'd three problems in this post: the stuttering, the gasping, and the throat-clearing tic. The stuttering seems be on its way out, which isn't unusual. The other two are different horses altogether. The SLP you spoke to may have referred you away not because she doesn't have the skills, but because she doesn't think it's in the field. It could be a breath support issue, which could be indicative of underlying conditions. Regardless, if it persists, I'd have some tests run to assess his breathing. I'm not sure if an MD would do this or if he'd refer you to someone like a respiratory therapist, but I know that these things can be assessed. My guess is he's just excited and wanting to speak and hasn't yet made the connection that in order to speak for a long time, you need to breath at regular intervals. The throat-clearing thing sounds like a normal childhood tic that I'd bet will fade like the stutter did/is. It \*could\* be a sign of some sort of neurological disorder like Tourette's (I went to high school with someone who did something similar), but it could also be nothing. I personally did various strange things growing up that I grew out of. In summary, I'd say that there's nothing immediately alarming, but I'd definitely keep an eye on things and maybe even keep notes to measure progress.