We present computations of [CI] 609 mu m and 370 mu m fine-structure l
ine emission from non-equilibrium clouds which are suddenly shielded f
rom initially intense far-ultraviolet radiation fields. After the inci
dent UV fluxes are diminished the initially abundant C+ ions rapidly r
ecombine, and the neutral atomic carbon is then slowly incorporated in
to CO molecules. The cloud cooling times are longer than the CI format
ion times, and intense [CI] emission persists as the clouds cool. The
[CI] emission is thus much brighter from cooling clouds than in equili
brium photon dominated regions. We argue that if UV-scattering is inef
ficient the extended [CI] emission observed in star-forming regions ma
y be better explained by non-equilibrium models than by steady state m
odels.