I use CodeChecker with ClangSA, CTU enabled and with Z3 for refutation. The code base is smaller so incremental checking is less a concern to me.
Still, we had a look. CC allows taking a list of files, and updating those files analysis only while keeping the existing results for other non listed files.
But unless something has changed this partial analysis just do what it's told, analyzing only the files given on the CLI. With CTU this may miss side effects: a modified file may impact other files using its function for example. It's possible to use CC own CTU info to derive these dependencies and extend the list of files.
Then there are modified header files, with the usual inclusion dependencies.
So if it's not provided "out of the box", it should be possible to have a layer on top taking a list of changed files, extending it with both CTU and header dependencies, and passing the extended list to CC for a safe update.