I want to tail the Exim log, but I have a number of other logs I also want to tail , and the number of tailing windows is getting to be a nuisance.

Look for a program called xtail (despite its name, it's not an X-windows application). It allows you to do multiple tails, even of entire directories. Alternately, get the GNU version of tail, from the GNU textutils package (ftp://ftp.gnu.org/gnu/textutils/)). GNU tail lets you run "tail -f" on multiple files at the same time, although it doesn't work on entire directories like xtail can. If you are running Linux, you probably already have a version of GNU tail that can follow multiple files.