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View > Show Bounding Box.
You most likely inadvertently hit the shortcut to turn it off at some point.
(but there are drag handles much further out, and dragging these resizes the text).
If it resizes, then actually you are transforming the object. Are you sure you are trying to resize the text flow box with the normal move tool and are not accidentally using one of the transform tools?
I don't know which of the options did it, but it seems to be working again.
Thanks to all.