  We give a complete classification of torsion pairs in the cluster categories
associated to tubes of finite rank. The classification is in terms of
combinatorial objects called Ptolemy diagrams which already appeared in our
earlier work on torsion pairs in cluster categories of Dynkin type A. As a
consequence of our classification we establish closed formulae enumerating the
torsion pairs in cluster tubes, and obtain that the torsion pairs in cluster
tubes exhibit a cyclic sieving phenomenon.
