And adding to what Stug said, I would also be using the wait method at feeding time as well. Put his feed down with a "wait" command and step back a few steps. Then make him sit, lye down and sit again, then release him to eat. It's a very high drive for him to want to dive in and chomp his tucker so if you can get him to wait and even go out of sight while he waits you will be reinforcing your spot as top dog.
It can be a sign of a bit of anxiety since he is worried you are leaving and he wants to be with you and where the action is, so a few trials to show him you are coming back is good. I would suggest trying this at home where he is comfortable then move the training to a new location.
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