I've found that I suck pretty bad at chasing people down when flying as a gargoyle. I just can't seem to gaugue what tile my character is on because of the weird flying animation. If you use UOAssist you can view yourself as a ratman and I have found it to be much easier to stay on top of people. I like the ratman because when you are flying and running his feet don't move, but when you aren't flying it walks like a normal ratman so its easy to tell if you've been dismounted. Anyways, it helped me.