I have the same issue. The plug stays in the phone, but the slightest wiggle causes the sound to cut off. Sometimes it causes the phone speaker to pick up what I'm playing, other times nothing happens until I unplug the headphones and plug them back in. It is very annoying.
Any update from samsung mods or samsung on the hardware issue people are having with the headphones? Mine also cuts out and pauses music and videos with the slightest movement to the cable.
Is this a known issue? Is it worth getting a replacement phone or even returning phones and getting a differnt brand if samsung doesnt want to address it?
It is not a known issue by means that Samsung is doing anything special for it. If the phone needs repairs you can seek repairs under warranty by messaging one of the mods directly or by using one of the methods @VerbumVeritum posted above.