I don't see that a syslog message is generated for that particular scenario. If the ASA is acting as a CA, it may generate the following:
%ASA-1-717049: Local CA Server certificate is due to expire in number days and a replacement certificate is available for export.
My recommendation is to set your own reminder when you obtain it from the Trusted Root Authority. Typically, they remind you because they want your money. My clients typically use an Outlook Calendar. If you are in a more structured environment, schedule something in your trouble ticket system to open a ticket when necessary.
Honestly, that's not really the ASA's problem. It will present a signed certificate containing the public key. The clients simply see the signed certificate as having an expired date.