yeah you can sync the clips very well from just the gleam eyes fight scene and not over using the effects which is great. I like the flash/zoom in/out tho.
I personally think there isn't much things you can do since the amv is based on krito vs the gleam eyes so prephap you could use a shorter version of music (around 1 min) since 3 min is just too much since there is not much scenes that you could put into the amv from just the gleam eyes fight scene.
There were also a lot of parts in the amv is just the orginal scene flowing with no editing and just play along with the song - i mean 5-10 sec is good but over 20 second isn't that fun to watch. The clip you edit is just short fight scene therefore it's diffcult to make it engaging due to lack of scene. Anyway, if you want to create a amv with 3-4 min song , then you need to include other scenes and not just the Gleam Eyes part so that you can edit and sync better with the song without leaving a 20 second ish of orginal clip from the gleam eyes scene flowing around and doing nothing

So to do better you have to add a mixture of scenes from other episodes and not just from the gleam eyes scene especially with a long song that is almost 4 minute .