Suggested change:

{
    package IO::Handle;

    use strict;
    use warnings;

    use Scalar::Util qw( );

    sub can {
        my $self = shift;
        $self = 'IO::Handle' if !Scalar::Util::blessed($self);
        return $self->SUPER::can(@_);
    }
}

use strict;
use warnings;

$\="\n";

print "\\*STDOUT:    ", \*STDOUT;
print "*STDOUT:     ",  *STDOUT;
print "*STDOUT{IO}: ",  *STDOUT{IO};
print '';

for (1..2) {
    print "\\*STDOUT:    ", (\*STDOUT)  ->can('print') ||0;
    print "*STDOUT:     ",  *STDOUT     ->can('print') ||0;
    print "*STDOUT{IO}: ",  *STDOUT{IO} ->can('print') ||0;
    print '';

    require IO::Handle;
}
[download]

\*STDOUT:    GLOB(0x182a044)
*STDOUT:     *main::STDOUT
*STDOUT{IO}: IO::Handle=IO(0x182a054)

\*STDOUT:    0
*STDOUT:     0
*STDOUT{IO}: 0

\*STDOUT:    CODE(0x189cb0c)
*STDOUT:     CODE(0x189cb0c)
*STDOUT{IO}: CODE(0x189cb0c)
[download]