  We show that a compact Lorentzian locally symmetric space is geodesically
complete if the Lorentzian factor in the local de Rham-Wu decomposition is of
Cahen-Wallach type or if the maximal flat factor is one-dimensional and
time-like. Our proof uses a recent result by Mehidi and Zeghib and an earlier
result by Romero and S\'{a}nchez.
