  Recently, a novel class of models for inflation has been found in which the
inflationary dynamics is driven solely by (non-canonical) kinetic terms rather
than by potential terms. As an obvious extension, we show that a scalar field
with non-canonical kinetic terms alone behaves like an energy component which
is time-varying and has negative pressure presently, i.e. quintessence. We
present a model which has a constant equation of state, that is, a ``kinetic''
counterpart of the Ratra-Peebles model of a quintessence field with a potential
term. We make clear the structure of the phase plane and show that the
quintessential solution is a late-time attractor. We also give a model for the
``phantom'' component which has an equation of state with $w=p/\rho <-1$.
