it may work with your bolt-ons but it was designed to work with the quick release skewer supplied with it, so some knocking back and forth is inevitable, it'll be hard to get a connection that matches the quick release

it won't really matter how tight you get it vertically because the ends aren't the exact same size as the bolts anyways, so there will be horizontal play

you should be able to get it to the point where it's safe to use though, i used to use my cyclops trainer with my track bike and it wasn't as secure as my road bike but it was good enough