I actually applied to this company twice. The first time was in June '15. I did a phone screen and a take-home coding test. I completed the test (which took over 8 hours to complete, unpaid) and I never heard back from their in-house recruiter.
Seeing another job ad again for the same position months later, I called the same recruiter again and asked him about it. He asked me to complete another coding assignment but I told him I already did the first one, so I moved onto a technical screen with one of their developers. Did the screen, and I haven't heard from them again. I sent two follow-up emails since them, nothing. Not to mention that he forgot to call me during a phone screen and I had to call him.
The technical recruiter at Blue Apron was an unprofessional, unprepared, and careless person. I think this reflects poorly on Blue Apron as a result, and I would NOT recommend anyone apply to them in the future.