What you can record
Along with your score on each hole you can record putts, whether you hit the fairway (or missed left or right), whether you hit the green in regulation (or missed long, short, left or right), and penalties.
Where to see them
Profile → Statistics covers scoring, fairways, greens, putting, scrambling, scoring by par and trends, including which way you miss. Each round also has its own stats page, which includes penalties.
Fixing your stats after the round
Forgot to tap your putts? On a finished round, Update Stats lets you fix your own putts, fairways, greens and penalties on any hole — without the Commish having to reopen the round.