I have seen plenty of jobs where requirements are to go for novel solutions, get preliminary results and then pass on the job of following up to another dept. I

I have seen plenty of jobs where requirements are to go for novel solutions, get preliminary results and then pass on the job of following up to another dept. I wouldn't say your case is bad, but just not a good fit. Nevertheless there should be balance in everything, getting fired twice in short time may not be a good sign.