Welcome Emma!
There's a thread with a few I found here:
hair salon themed stamps by coonbelle at Splitcoaststampers
Beware of the term you're using, my "hair stylist" told me that "hair dresser" is not the accepted term anymore and is kind of consider derogatory. I googled "hair stylist stamps for scrapbooking" but didn't come up with much.
By the way, I'm what used to be called a "secretary" and I'm now an "administrative assistant" because "Secretary" became derogatory sometime after "Girl Friday" was given the old heave hoe. Funny how times and terms change!
Anyway, welcome to SCS, I've been loving the past year here learning, being inspired and making virtual friends :-)