A tied scalar shadows an object whose class provides methods for creation, assignment and destruction. The tied scalar behaves like a scalar, so you can neither bless it into a package, nor call methods on it (would need to be blessed, first).
You are pretty out of luck if you want to use the same thingy as a scalar and an object at the same time. Your FETCH would need to know what the fetch is for - not just void/scalar/list context, but look ahead in the opstack to see whether the result it is about to return is for a method deref. I'm sure that can be done somehow (TheDamian, would you like to? ;-), but it probably would involve too much magic...
Use the object returned by tie to do method calls:
use Link;
my $var_o = tie my $var,"Link","http://somesite.com";
$var = "http://anothersite.com";
$var_o->print_method;
print $var;
Or what Arunbear said.