Thanks, Joe. But that is exactly what I do. It just won't respond. Usually when I click the microphone it makes a noise, but in this instance no noise to let me know it's live. I tried dictating anyway but nothing happened.
I have had this problem on occasion and it seems to correspond to a momentary loss of a network connection, either cellular or wi-fi. Look to see if that is the case when the problem crops up. As suggested, a power off and on of the iPhone might clear it up.