Here is a pattern for a cowl made out of eco-stitch 100% linen DK/light worsted weight.
It took just one 100g hank to make (Seaspray colour way)
Finished circumference 74cm, height 19cm (measurements after washing).
The finished result is lovely and soft.

These instructions are for knitting backwards and forwards, not in the round. You can knit in the round if you prefer not to join the seam at the end.
Cast on 129 stitches with size 3.75mm needles.
Knit 3 rows.
Purl row.
Knit row.
Purl row.
Start Eyelet pattern (6 rows):
1)*k1, yo, sl1 k psso, k3, k2tog, yo,* Repeat between* along row until last stitch, k1
2)Purl.
3)k2, *yo, sl1 k psso, k1, k2tog, yo, k3* Repeat between * until last 7 stitches: yo, s1 k psso, k1, k2tog, yo, k2 
4)Purl.
5)k3, *yo, sl1 k2tog psso, k5* Repeat between * until last 6 stitches: yo, sl1 k2tog psso, k3
6)Purl.
Knit row.
Purl row.
Knit 4 rows (for ridge)
Repeat 6 rows of Eyelet pattern.
Knit row.
Purl row.
Knit 4 rows for ridge.
Repeat eyelet pattern and ridge 2 more times.
Cast off loosely.
Sew seam together.

Each pattern repeat is 8 stitches. If you don't want the cowl to be as long, you can drop a couple of pattern repeats of 8 stitches each, so casting on only 121, 113 or 105 stitches. But remember to make it big enough to get it over your head!

Happy knitting...

This simple top was made using 4 hanks of eco-stitch 100% linen DK weight.
I knit from the bottom up starting with a mesh stitch as a border. Linen yarn lends itself very well to mesh stitches. It looks much better than standard ribbing.
The front and back are a little shaped in towards the waist.
I didn't really follow a pattern but there are plenty of patterns on ravelry, which you can adapt, for example, the Ombre Tank pattern. I had to place the colour blocks strategically so I wouldn't need more than the 4 hanks of yarn (2 in the plain blue, one of each of the mottled shades).

The neck shaping on the front and the back is identical so the top is reversible. The colour blocks are in different places on each side, as you can see on the pictures below. The top can be worn either way round depending on which colour you prefer closer to your face.

Our DK/light worsted yarn is a thicker yarn. When knitted on size 3.75mm needles it gives quite a compact stitch. If you prefer a more sheer, airy effect, you can knit with larger needles. This would give a lighter garment and use less yarn. Personally, I prefer the look and feel of the more compact stitch.

The overall result is a lovely, soft top with a natural sheen and drape.
With linen you need to make your garments with a little positive ease, i.e. they need to be not too close fitting. This will show off the beautiful drape in the finished knitted fabric.

This is the same pattern as our previous post but knitted in a slightly thicker DK weight.
It knits up very quickly. The original pattern says to cast on 52 stitches. This one only requires 41 stitches (so 3 pattern repeats along a row) and 5 pattern repeats in height for a cloth measuring 20.5cm x 20.5cm (roughly 8 inches square), once washed and dried.

This one was made with the Pistachio colour-way. One cloth takes up just under a third of a 100g skein, so you'd get 3 out of a skein.

If you are new to knitting with linen yarn, why not try this pattern for a lacy linen wash cloth to help you get the feel of linen? 

This was made out of our 4-ply linen yarn. You will probably get 4 wash cloths out of one 100g hank.
You should be able to find the pattern here.
I used 3mm needles and the finished work measured 20.5cm x 20.5cm after washing. (6 pattern repeats).

These would make great gifts.
There are more ideas/patterns for wash cloths on our Pinterest page.