Sounds like damsel aggression. I've found they like to stalk and chase.
As for whether things will be okay...it depends. Unfortunately it isn't always an easy thing to predict. Sometimes they work out a balance, sometimes they fight constantly without hurting each other, and sometimes the fish goes all highlander on the tank. It is often a wait and see and if it doesn't tone down within a couple days then intervene type thing.
For example; when I added my Eibli Angel recently I expected my Rusty Angel to go into territorial-mode and throw a tantrum. It took him a day to get over it. The young Princess Damsels on the other hand were quite the surprise. They would go out of their way (5' tank...territory opposite ends of the tank) to pick on the Eibli. After a few days I had to remove them because they just kept randomly picking on it.
When it comes to damsels you never know what they'll take a disliking to (well, except other damsels...that's a safe bet...) or how persistent they'll be about it.
Clowns can be pretty tough fish (they are damsels after all) and will probably work it out. Just keep an eye on them.