Question / Back Story
I have been going back and forth with a prospective employer for about 6 months now. Initially, I found this company because I was looking for a new job. Initially I accepted an offer from them but I ended up reneging on the deal. My current employer made an aggressive counter-offer and agreed to address my concerns that led to my decision to leave in the first place.
About once a month since that then I've gotten a personal email from the hiring manager asking me how things are going at my job and offers me more money to make the job change. Each time I have politely replied that I'm doing well and would not like to change.
I've given it several months at my current job and the things I was promised never changed -- so I find myself back on the market. I received another offer from this company today and it's very tempting.
It seems borderline desperate for a hiring manager to continuously try to hire someone like this and it brings up a concern that they're desperate for people -- perhaps to finish up that big project and give me the old farewell?
Could it be that I'm just a desirable person to hire and they've recognized that or is my hunch likely correct and I'm setting myself up to be unemployed in 6 months? Any tell-tale signs of this type of issue?
Additional Details
I'd like to stay anonymous, but in terms of the company itself they're very new (about 5 years in business), seem to be growing at a healthy rate, the employee reviews are fair (no red flags), and many employees have years of tenure. (Source: Glassdoor)