A good tip to use;

- Don't rush the video clips, don't speed it up. Use replays with normal speed (Most of the time) and try to make the replays "realistic" in terms of the movements when it's more "cinematic".
In that way, the video itself dont feel rushed and the music will just become more of the background and not in the "centre" of choice.

- Don't cut the video clip to fast, let some of the videoclip breathe before changing.

- Let the camera angles "speak", in that way you can guide the audience on where they should focus on when they're watching the video.
For an example - A spar fight can have alot of different camera angles, but some are preferebly close-ups, to get a feeling on where the hands hit the body
Or when it comes to Power moves, a more Narrow to wide angle can make it feel like a hard hit towards the body

Mocucha have some old and goodies when it comes to story telling, such as the 'Brother of Agility'-series. Take a look on those to get some inspiration :^)

Good luck