.. of course it always pays to fix the problem rather than try to bypass its consequences

If you inspect your /var/log/clamav/clamav.log file I will virtually guarantee you will find one or more lines in it complaining that is can't create the clamd.sock file cos it already exists. This happens each time clam is invoked by amavis, it can't scan because of this, and errs on the conservative side and classifies each mail as problem email.
The fix is included in the newer version of clam and can be backported to recent earlier versions:
a) pico -w /etc/clamav.conf
b) find the section that talks about TCPIP port and after this section enter the following:
FixStaleSocket
This command causes clam to delete any extraneous clamd.sock files it finds when it loads.
This error can also be caused by a corrupt database file, so it may pay to look at your /var/log/antivir file (if you have one) an verify your updates have downloaded correctly and that clam is happy.
HTH