I play around in the "Formation" menu and apparently Squires still get JP in the Chemist class which allows them to learn how to use items. What the hell is the point in being a Chemist then? I quickly switch my Chemists to Squires to teach my Squires how to use potions. Buy new items, etc.
Any time someone performs an action on your side, they get the JP total you see, and everyone else in the battle gets a small portion for that class too, which is not shown during the battle.
Your Squires got Chemist JP from being around Chemists.
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Connecticut Huskies