A synthetic sieve organ known as kliver?
This term is used in this book (Synthetic Biology, The National Academies Keck Futures Initiative, p.43). This book is a summary of several interdisciplinary team discussions during a  conference held in 2009. 

One...


  [...] team considered building artificial organs. Engineered to be hypoallergenic, these could allow for a mass production of personalized organs. Their novel and broad functions could also be useful for medical testing. In a single artificial organ, one might screen potential drugs for both toxicity and permeability.
  
  For instance, group members proposed the idea of a "kliver", a kidney-liver hybrid. An independent "kliver" could help filter bio-compounds out of drinking water.


There are some more paragraphs revolving around the question how to build a "kliver" and a final paragraph concluding that enough necessary building blocks were available and researchers could start working on it:


  Potential building blocks might be mammalian and microbial cells and their products, such as slime, fibers, small molecules and proteins. The cells might be engineered to hold new electrical, mechanical, and chemical powers.
  [...]
  Cells would be programmed to degrade their organs and DNA if they began to invade other organisms or the environment. A genetic "kill switch" aims to stop contamination or infection.


Summarising this, I wouldn't call it a "popular term".