In recent years there have been many issues with Microsoft Office and Adobe Creative Cloud running under newly released versions of macOS. It’s not unprecedented for several months to pass before all of the major issues are resolved. This year, however, Adobe and Microsoft both seem to be ready at launch, releasing support articles outlining the specifics.
Microsoft Office published a support document stating that Office 2016 and 2019 (to be released to the general public in the coming weeks) are compatible and fully supported, meaning that if issues are uncovered they will fix work on a fix. Just be sure that your copy of Office is fully updated.
Adobe Creative Cloud
Adobe also released a support document with a list of known issues, most of which are rather minor or are changes in how macOS itself works, such as the removal of the integrated social sharing buttons or extra steps you must complete for security reasons. And of course, you will want to check any third party plugins or peripherals you use such as printers or tablets to be sure that the vendor supports Mojave, updating their software if necessary.
That said, macOS Mojave has only been out for a few days, so you might want to wait at least another week or more just to be sure before you dive in if your income depends on these programs working perfectly. And check those support documents again before you do so. And as always, back up with Time Machine. In the event that something in your workflow unacceptably breaks Time Machine allows you to boot into Recovery Mode and roll back to a previous backup.