I've got this problem too. I did not have this issue with the previous software, since I got my Bionic in May (after it was apparently fixed the first time). I was floored when the push came to my phone this morning and I turned on Pandora. I never even knew this had been or would be a problem until I experienced it firsthand. I did have a problem where the audio would get ridiculously distorted for no reason for a period of time, and then return to normal if muted and unmuted. Maybe both issues mean I have bad hardware? Both seem like bugs to me.
I also noticed the hiss stops about a second after pause is hit, and I can also hear a hiss when running ANY app that has sound. I actually am able to hear it out the main speaker as well if listening for it...although this isn't nearly as annoying.
I'm wondering if the sound was always there, but if the hiss would stay muted until other sounds actually started, and would again mute immediately after other sounds stopped rather than 1 second later? I have no way of going back and listening more carefully. I called Motorola and they suggested either a factory reset or sending the phone in for repair, but it seems premature for either on day one.