In this example, we'll split a linear feature (a road) with another road at an intersection:
SELECT (ST_Dump(ST_Split(
(SELECT wkb_geometry FROM multilinestrings WHERE osm_id = '333295'),
(SELECT wkb_geometry FROM multilinestrings WHERE osm_id = '2344149')))).geom

Two intersecting LineStrings

A LineString split using another LineString at an intersection