Unfortorunatly, the only way to fix the "always on" animations is to relog.
It happens to me quite often as well. Grab aggro anywhere inside or outside a dungeon (BAMs), The orange and purple aggro circles will stay beneath my feet until I relog.
This bug also effects bgs. When in bg, if anyone sleeps, curses, silences, fears, etc me. Those skill visual effects stay on my toon even outside of bgs. I've had other players walk up to me as ask, "whats wrong with your character?"
But the real fps killer are sorc ice spell visuals. When sorcs use Ice Needle on a target, the effects animation do not go away the entire BAM fight. What makes this an fps killer while the effects animation linger until the BAM is dead, the animation itself is heightened by 100%. Imagine a BAM that is enraged within a block of animation. Kills my fps every time, especially when I'm on my melee toons.
I'm sure we've all see a BAM shoot or throws magical balls only to see those balls suspended in mid-air the entire fight.
These are all bugs that were introduced during f2p. Never had any of these issues before Free. If you're expecting a fix, don't bother. CS is top priority when bugs appear. All new bugs join the list of old, reported but never fixed, bugs.