LocalClusteringCoefficient[
 Graph[{1 <-> 2, 1 <-> 3, 2 <-> 3, 2 <-> 4, 3 <-> 4}]]

g2 = Graph[{1, 2, 3, 4}, {1 -> 2, 1 -> 3, 2 -> 4, 3 -> 1, 3 -> 2,
    3 -> 4}, VertexLabels -> "Name"];
Transpose[{VertexList@g2, LocalClusteringCoefficient[g2]}]

g2 = Graph[{1, 2, 3, 4}, {1 -> 2, 1 -> 3, 2 -> 4, 3 -> 1, 2 -> 3,
    3 -> 4}, VertexLabels -> "Name"];
Transpose[{VertexList@g2, LocalClusteringCoefficient[g2]}]