apple.Safari.SafeBrowsing.Service is eating RAM

You don't need to do anything. Just boot into Safe Mode and then reboot normally.

Boot into Safe Mode (How to use safe mode on your Mac - Apple Support) by booting with the Shift key held down and check there to see if the problem persists.  Reboot normally and test again.

NOTE: Safe Mode boot can take up to 10 minutes as it's doing the following; 

• Verifies your startup disk and attempts to repair directory issues, if needed

• Loads only required kernel extensions (prevents 3rd party extensions from loading)

• Prevents Startup Items and Login Items from opening automatically

• Disables user-installed fonts 

• Deletes font caches, kernel cache, and other system cache files

Hi DavidG74,

Please create your own thread and then please do the following. Do not post your report in this thread as it will confuse the issue with the OP. Your situation is likely completely different even though you share common symptoms with the OP.

Please navigate to the Mac App Store or navigate to www.Etrecheck.com and download the free version of EtreCheck. Once you have you downloaded the app and installed it, please run the report and save it. This report will help us get a good idea what has been installed on your system and help us be able to diagnose what may be wrong.

When you have your report, you can attach it when you reply to this message and we can then review it and help you determine what is needed to get your system running well again. 

For instructions on how to download your EtreCheck report and attach it to your reply to this message please click https://discussions.apple.com/docs/DOC-250000211

Use safe mode to isolate issues with your Mac

Your welcome.

Can't tell till we try it. It's a good, standard first fix procedure.

The process is doing the same for me in Catalina. Wonder what can be the reason behind this.