I haven't seen anything on the battle screen. Where should I look? I don't seem to have gotten a single thing, unless maybe I just can't tell.
the drop rate is extremely low......worse as u get higher in levels. But if u r fortunate enough to get some ...it will say "battle drop" in green to the right of the damage u dealt, below your avatar the actual item u received will show
You can read more about battle drops here: http://forums.kanoapps.com/showthread.php?6229-Game-Update-Battle-Drops-are-Here! The dev in charge is reading/posting there.