Cell motility due to the motion of one or more eukaryotic cilia. A eukaryotic cilium is a specialized organelle that consists of a filiform extrusion of the cell surface. Each cilium is bounded by an extrusion of the cytoplasmic (plasma) membrane, and contains a regular longitudinal array of microtubules, anchored basally in a centriole. [ GOC:dgh GOC:cilia GOC:dph GOC:mlg GOC:krc GOC:mtg_cambridge_2013 ]