com.samsung.android.sdk.professionalaudio.utility.jammonitor is the process that runs for the SapaMonitor app/package, best I can tell. From the package name, it appears that its related to audio. This thread indicates the same
[q] sapamonitor?... | Galaxy S4 | XDA Forum
Curious, I checked in GSAM, and via the App Detail feature, scrolled down until I found SapaMonitor. GSAM characterizes SapaMonitor as a package, and jammonitor is it's process. GSAM shows 0.0% battery usage on my Note 3. Assuming that SapaMonitor's job is to monitor audio inputs or similar subsystem, I think its not something to worry about. I played Music off/on during work today, and unplugged/plugged in headphones probably a dozen times.
Since the picture for SapaMonitor looks like an audio connector, it could be the service that monitors for when an audio connector gets plugged into the headphone jack. I know when I plug in my headphones, a Notification bar alert pops up that says something like "Headphones connected".
I could, of course, be totally wrong on this. But from a bit of sleuthing around, this appears to be a valid TouchWiz related system service. I wouldn't worry about it.
I would worry about, and I do so more, the bloatware like My Magazine.