Is it possible to disable caching of some certain wiki pages (or fragments of some wiki pages)?

I'm using custom wiki liberty plugin at my wiki pages. It produces variable content. Bitweaver caching system cache result of first plugin call and didn't let them to work as it's supposed.

I'm using refresh_liberty-cache in url now.

Are there any better solutions??

Not presently that I know of. We need to consider how to allow plugins to tell liberty that it can not cache a particular piece of content. This is an issue for the spy_text plugin as well I believe.