Every chenille I have ever crocheted or knitted has shed.

If Wooly is talking about the Sirdar Snowflake brand of yarn it is
ABSOLUTELY wonderful. It's not marketed is a chenille - they call it
"Ultra Light Fashion Chunky". Feels like air, looks like cotton candy.
I just finished my first every knitted shawl with it and it was self
fringing and just went together beautifully. Looks delicate, but it's
not. It survived me and my cats regular attacks during the making of
it.

I just bought more in bright yellow to make another non-fringed shawl.

Jenn in CA