A bit of reading (RTFM puff) reveals from CPAN

WWW::Mechanize is a proper subclass of LWP::UserAgent and you can also use any of LWP::UserAgent's methods.

And then for LWP::Agend

$ua->clone; ... Returns a copy of the LWP::UserAgent object

And of course

$mech->request( $request [, $arg , $size])