  We apply a recent proposal to speed up the Hybrid-Monte-Carlo simulation of
systems with dynamical fermions to two flavour QCD with clover-improvement. The
basic idea of our proposal is to split the fermion matrix into two factors with
a reduced condition number each. In the effective action, for both factors a
pseudo-fermion field is introduced. For our smallest quark masses we see a
speed-up of more than a factor of two compared with the standard algorithm.
