You are probably using justify wrong. In a text widget, it is a tag option. Does this work?

#!/usr/bin/perl
use warnings;
use strict;
use Tk;
use Tk::Text;
use strict;

my $mw = MainWindow->new;
my $t = $mw->Scrolled('Text', -scrollbars=> 'se', 
                -height=> 5, 
        -background =>'white', 
        -wrap => 'none')
        ->pack(-side=>'bottom', -fill=> 'both', -expand=> '1');

$t->tagConfigure('right', -justify => 'right');
$t->insert('end',"This is a right justified, none wrapping text.\n",'r
+ight');
$t->insert('end','Try to type some text over the left edge of the wind
+ow here: ','right');
$t->focus;
MainLoop;
[download]

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