Disallow rm'ing your own open file

[Milan Strnad]

I am trying to put some controls on the "root" account (don't even ask why).
Currently I have all of root's activity (key strokes, etc.) getting logged
in a log file.  Unfortunately, this does not prevent the root user from "rm"ing
the log file, but it does prevent him from modifying it.  File locking does
not seem to work in this instance.  How can I better ensure the log file
maintains its integrity?  I'm using SCO Xenix 2.3.2 on a Compaq 386.