Given the size of Perl byte code, startup times may not improve with trying to precompile. Instead you are better off trying to use a persistent interpreter like mod_perl on Apache does.

Also if your shopping cart does common things like form database requests, you will find that trying to compile breaks a lot of common assumptions. Objects may be created etc that have open connections. Dump and reload and Perl thinks it has connections but the outside world does not agree. (Things will go downhill from there.)