Interesting. I had an old piece of code something similar, that I used for miscellaneous function libraries.
It worked on the surface, but as ihb pointed out, theres probably subtleties i have not understood or accounted for - Globs are pretty scary!

package Exporter::Lite;
no strict 'refs';

sub import
{
    my $namespace = shift;
    my $caller      = caller();

    if ($namespace eq __PACKAGE__)
    {
        # ie use Exporter::Lite; 
        # put import symbol in callers table, and ignore any args

        *{ "$caller\::import" } = *{__PACKAGE__."\::import"};
        return;
    }
    else
    {
        # ok, we have a "use myModule qw(blah foo);"
        
        foreach(@_)
        {
            *{ "$caller\::$_" } = *{"$namespace\::$_"};
        }
    
    }
}

1;
[download]

edit: my way definitely suffers from the same clobbering problem as mentioned in Aristotle's last post. Just sneaked in before me.
But I wonder, if your are explicitly importing a symbol, would you be likely to name your own variables the same as what had been imported?