I've never been rejected for a job because of it, but have experienced other things: https://medium.com/@spencer_th0mas/why-software-developers-s...

TLDR version: you may have to deal with lower salaries, less respect, lower quality organizations or departments, lots of free time catching up/keeping current, more questioning compared to degreed peers, and occasional culture shock. Not everyone deals with all/any of those, but chances are higher with no degree.