Have a look at this shop-built ripper capable of slicing very thin, long strips of wood of moderate width for bent wood lamination or shop made edging. If you'd like to see some rippers that are really easy to build, let me recommend these two videos:
   • How to Make a Thin Strip Ripping Jig  
Colin's is excellent for short lengths, as you might want if your source material is short cutoffs.
   • Cutting thin strips on a table saw  
Izzy Swan gets the award for simplest jig of all. His jig would work with short and long workpieces.