Knit Picks has several free patterns for lace weight yarn. One of my favorites is the Feather and Fan pattern. It takes only four rows for the pattern. Row 1 is knit, row 2 is purl, row 3 is the pattern, and row 4 is knit. The Knit Picks downloadable .pdf shows three different items made with the pattern -- a shawl, a throw, and a lace weight scarf.

And, they have a lot of other scarf patterns that use lace weight yarn.

Here is a link that might be useful: Knit Picks Free Patterns

Thanks, Lindsey.....I clean forgot about the feather and fan, a pattern I've used many times to make baby blankets...just never with lace weight. I'll knit a swatch and see if I like it....

Thanks for the link. Love their shawls.

Here is a link that might be useful: My Page