Hydrolyzes ADP-ribose 1'',2''-cyclic phosphate (Appr>1) that is produced during tRNA splicing into ADP-ribose 1''-phosphate (Appr-1''p). Acts also on nucleoside 2',3'-cyclic phosphates. Inhibited by Cu(2+) and Zn(2+) at 0.5 mM by 93 and 87% respectively. Not inhibited by Ca(2+), Mg(2+), Co(2+), Ni(2+), and EDTA at 0.5 mM. Expressed in leaves, stems, roots, floral buds and germinating seeds. Belongs to the 2H phosphoesterase superfamily. CPD1 family.