Multiple fixes and idiomatic optimizations:

use strict;
use warnings;

{package Employee;

sub spawn                            
    {                            
     my $invocant = shift;                            
     my $class = ref($invocant) || $invocant;                         
+   
     my $self =                            
            {                            
             empid => 200,                            
             name => "Joe",                            
             pay => 20,                            
             @_,                            
            }; 
    return bless $self, $class;
   }
   sub empid { return $_[0]->{empid}};
   sub name                            
            {                            
            my $self = shift;                            
            return $self-> {name};                            
            }                            
   sub set_name                            
          {                            
          my $self = shift;                            
          $self-> {name} = shift;                            
          }                            
   sub pay                            
            {                            
            my $self = shift;                            
            return $self-> {pay};                            
            }                            
   sub set_pay                            
          {                            
          my $self = shift;                            
          $self -> {pay} = shift;                            
          } 
    sub PRINT{
          my $self = shift;   
          print $self->name," Earns ",$self->pay," dollars per hour. H
+is/her Emp ID is: ",$self->empid, "\n"; 
    }
                            
1; # Indicates successful load when package is external
} # End of package Employee   

my $wk1 = Employee->spawn(name=>"Joe", empid=>201, pay=>25);
my $wk2 = Employee->spawn(name=>"Moe");                            
my $wk3 = Employee->spawn(name=>"Bob", empid=>202);
                            
for my $emp ($wk1,$wk2,$wk3){
    $emp->PRINT();
}   

print "Got this far!", "\n";                            
$wk1->set_pay(70);                            
$wk2->set_name("NewMoe");                            
                            
for my $emp ($wk1,$wk2,$wk3){
    $emp->PRINT();
}
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Your biggest problem was:

return $self-> (name);   # INCORRECT SYNTAX (looks like subroutine par
+ameter)
  # vs. 
return $self-> {name};   # Braces indicate hash-element access
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