Have you ever been assessed for Autism Spectrum Disorder? Hand flapping can be associated with that. I'm not saying that's what this is, it's just what crossed my mind as a possibility as I read your post.
Perhaps the posters on the ASD forum might be able to give some input.
Autism and Asperger's Syndrome - Forums at Psych Central
Oh, and welcome! 
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In the midst of hate, I found there was, within me, an invincible love. In the midst of tears, I found there was, within me, an invincible smile. In the midst of chaos, I found there was, within me, an invincible calm. --Albert Camus
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