<input type="text" name="SomeThing-Really-Complex-and-Annoying" />

$('input[name="something-really-complex-and-annoying"]').addClass('yay');

$(':input[name]').filter(function() {
   return this.name.toLowerCase() == 'something-really.etc';
 });

$('input[type="text"][name]').filter(function() {
   return this.name.toLowerCase() == 'something-really-complex-and-annoying';
}).addClass("yay");