With the release of macOS Mojave 10.14, Apple has changed some security features of the operating system, providing users a notification when third-party software requests access to folders or content containing their private data.
Apple's new privacy protections apply to the directories that contain your calendars, contacts, photos, mail, and messages. When trying to list or navigate through these directories, you may receive an alert that the Adobe app "would like access to your contacts", similar to this:
Adobe apps do not require access to your Calendar, Contacts, or Location, but you might unintentionally cause these apps to try to access these items. This can occur when you navigate within your user Library directory with either the Open or Save dialog.
These dialogs examine all files and directories within your user Library directory. This means that any app that needs access to any folder in /Users/<username>/Library will prompt such requests.
If you encounter this prompt, simply select Don't Allow. It will have no impact on the operation of your Adobe apps. The prompts should only happen once per app (per security category). When you update your Adobe app to a new version, macOS remembers your earlier choices and won't prompt you again.
The user Library directory /Users/<username>/Library is hidden by default on macOS. It is not recommended to regularly access or use this directory for saving application documents.