A lot of fans over here want him gone as showrunner, tbh, and in fairness I can see their point. I was pretty excited by his appointment at first, since it promised a move away from the 'soapy' elements favoured by Russell T. Davies (who, again, can certainly write, but is prone to lapses into his Coronation Street days and bouts of pathos). Over time, though, I've come to feel that he tries to be too smart for his own good. The arcs and subtle hints would be fine, if told at a less frenetic pace. With Matt Smith, particularly, I found I was trying to process stuff relevant to the arc at the same time as trying to keep a handle on his delivery...and on lines that occasionally smashed around like particles in the LHC; it was sometimes hard to focus on which strand was relevant to the story, which to the arc, and which were just spiralling away to nowhere. And, of course, some arcs seemed to go nowhere...or ultimately lacked the depth and importance that had been hinted at...or became impossible to follow up because actors had enough and left. (Just as, in RTD's time, the whole River Song storyline was holed below the waterline by David Tennant deciding his time was done, requiring some heavy retconning for Silence in the Library/Forest of the Dead to make sense.)
The biggest issue I have with Moffat now, though, is the fact that he's trying to run Dr Who and Sherlock, and IMO at least the quality of both is suffering as time goes on. Of the two, Sherlock needs him more; Dr Who has any number of people who could step in and at least hold it steady, if not improve it just by stripping out certain things and focusing on the story.