If I understand your question correctly, you want to solve the problem of text overflow when you don't want it. There are different ways to accomplish this, depending on your exact situation.
One is to create the text frame large enough to include your longest line, then apply text wrap properties to the objects on the page that you want to avoid.
Another is to have the text frame resize automatically when you run out of room. You have choices in InDesign that were introduced in CS6 in an extra tab added to the "Text Frame Options" dialog (Ctl/Cmd-B or
Object > Text Frame Options...).
There's a good demonstration of it in this video tutorial on the Adobe website, starting at 5m 20s into the presentation, but you'll get the hang of it quite rapidly if you just play with the various options.
All that said, if you type a word that is too long to fit in the width available (which can happen if there is an overlapping text wrap area), it will disappear if InDesign can't hyphenate it, either because you have turned off hyphenation, the word has a No Break attribute, or it has a
[No Language] setting in the Character panel or Character Style.