Funny this should come up...my KJ used to do the same thing and after a lot of searching, I found out (from another Jeep forum) that it was normal and was the system saying 'wait a bit while I run my pre start scan' and glowplug cycle. I didn't really believe that, but if I tried to start while it was chiming, it would wind over for 4 or 5 seconds and then catch...if I waited for the chiming to stop, it would fire up straight away, even at minus 25 degrees (C).
No idea if this has any relevence to the WK.