Yup, I have been doing "File > Electronic Filing > Check Electronic Filing Status" countless number of times in the last few days. The result has been "pending". It does not matter whether I close Turbotax and reopen it, or I just leave it open, the result is the same.
I did try e-filing again on Monday, and it did not let me, saying something like "you don't have a return to e-file". Now I tried again, and it says e-filing is closed.
