General background on hyperlipidemia -- note there are two different kinds, high glycerides and high cholesterols. It can be caused by increased production (doubtful), increased mobilization (again doubtful in a kitten), and decreased clearance (which makes the most sense here). To separate physiological from pathological, test after 12hr fast. HypOthyrdoism keeps being mentioned as a potential cause.
Treatments for hyperglyceridemia: a low fat diet, <25% fat (raw chicken), omega 3, chitosan...
Treatments for hypercholesterolemia: soluble fiber,
http://veterinarymedicine.dvm360.com/hyperlipidemia-dogs-and-cats