This variety incorporates laced running stitch, taken both ways along the running stitch, to give it a final ‘chain’ look.
laced running stitch 3
Lay the foundation by doing a running stitch.
Follow the instructions of laced running stitch to get a laced running stitch pattern
interlaced running stitch1   interlaced running stitch2
Fig 1: Bring another thread out from near the first stitch and the needle under it from the bottom.    Fig 2: Now take the needle under the second stitch from the top. Continue this action of taking the needle under each stitch from the top and bottom alternately.
interlaced running stitch3
Fig 3: A finished line of interlaced running stitch would look like this.