Fleas are wingless insects that locomote by leaping, like grasshoppers. They are true parasites that subsist by sucking blood.
Lice are smaller wingless insects that don't move around as much as fleas. Some species are parasitic, sucking blood or eating living skin. Others are symbiotic scavengers, eating dead tissue and keeping their hosts clean.
Humans are susceptible to three species of lice: head lice, body lice and pubic lice. They all suck blood and are true parasites. However, their real danger is in transmitting diseases from one host to another.
Body lice evolved to live only on humans, and lay their eggs in our clothing. The species separated from head lice 70,000 years ago, which gives us an approximate date when we invented clothing. Head lice and body lice are still closely enough related that the two species can interbreed and hybridize.
70,000 years makes body lice one of the most recently speciated non-microscopic organisms. Polar bears differentiated from grizzlies 100,000 years ago.