Oh hey, so... I know some of you were looking for this and I dunno if somebody found it but I thought it would be nice to post up for posterity.
On your chat window, there're two tabs. Next to those two tabs you have a little double arrow icon and a plus icon. The double arrow icon lets you display both tabs at the same time... What use that is I'm not entirely sure but it'll probably come in handy later. The plus icon though! Now that let's you choose what messages you want displayed on your "Battle Message" tab, and one of those choices happens to be "Item Get/Drop Message Display."
So... play on! Unhindered! To Adventure!