The text could be (1) on a locked layer, or (2) be coming from a master page.
If on a locked layer, unlock the layer on the Layers panel. If coming from a master page, hold down Cmd+Shift (Mac) or Ctrl + Shift (Windows) and override the text frame to edit.
Thanks Steve, but no. This is a doc I was just working on and I did go a little crazy with the triple+ clicks trying to get the text selected (it was about six or so, CC is not a smooth as earlier versions in multi clicking to select text). Suddenly, the text tool moves the text frame when I try to drag select. I can get an insertion point in the text by double clicking, but when I drag, it just moves the text frame. Very frustrating. I'm having to Shift + arrow keys to select text.
Well, after another uninstall and reinstall, logout, full shut down and reboot, it's back to normal. Still not sure what caused it and really not sure what fixed it. Relieved, but still a little worried.
Thanks for getting back to me with suggestions though.