Lickorish's method for constructing topological invariants of three-ma
nifolds is generalized to the quantum supergroup setting. An invariant
is obtained by applying this method to the Kauffman polynomial arisin
g from the vector representation of U-q(osp(1/2)). A transparent proof
is also given showing that this invariant is equivalent to the U-q(os
p(1/2)) invariant obtained in an earlier publication.