overload->unimport('%{}');

##</code><code>##

eval 'no overload'

##</code><code>##

#!/usr/bin/perl
use warnings;
use strict;
use feature qw{ say };

{   package LanX;
    use overload '%{}' => \&_nothing,
                 '""'  => sub {
                              $_[0]->_underload(\&_value)
                          };

    sub new {
        bless {value => $_[1]}, $_[0]
    }

    sub inc {
        $_[0]->_underload(sub { ++$_[0]->{value} })
    }

    sub value {
        $_[0]->_underload(\&_value)
    }

    sub _nothing { { value => 'nothing' } }

    sub _value { $_[0]->{value} }

    sub _underload {
        my ($self, $sub) = @_;
        overload->unimport('%{}');
        my $v = $self->$sub;
        overload->import('%{}' => \&_nothing);
        return $v
    }

}

my $l = 'LanX'->new(12);
say "deref\t" => $l->{value};  # nothing
say "l\t"     => $l;           # 12
say "deref\t" => $l->{value};  # nothing
say "inc\t"   => $l->inc;      # 13
say "l\t"     => $l;           # 13
say "inc\t"   => $l->inc;      # 14
say "l\t"     => $l;           # 14
say "deref\t" => $l->{value};  # nothing