  The cellular-Lindel\"of property is a common generalization of the Lindel\"of
property and the countable chain condition that was introduced by Bella and
Spadaro in 2018. We solve two questions of Alas, Gutierrez-Dominguez and Wilson
by constructing consistent examples of a normal almost cellular-Lindel\"of
space which is neither cellular-Lindel\"of nor weakly Lindel\"of and a
Tychonoff cellular-Lindel\"of space of Lindel\"of degree $\omega_1$ and
uncountable weak Lindel\"of degree for closed sets. We also construct a ZFC
example of a space for which both the cellular-Lindel\"of property and
normality are undetermined in ZFC.
