While I can adjust the height and width fine using 'at least', there isn't an option to allow flexibility of the columns while fixing the table width. Right now if I add content to the left column, lets say I had 1 icon and now I want 2, it bumps the right column out wider instead of adjusting the width of the right column smaller.

I have message me

I work in the industrial sector and this would be very very beneficial to me. I'm constantly having to resize the text in cells and an autofit option would help enormously.

I think this functionnality should be adapted to the Width of cells as well. It'll be great to be able to double-clic on the right line of a cell to create an auto-fit of the cell upon the content.
Very much like the function with the text frames, in fact. Easy, intuitive

i don't really see the problem here? since you're talking about the HEIGHT - this already fits automatically based on the content if you set the height to "minimum" instead of "exact" in my german version it's "Genau" and "Mindestens".

For the Width i agree with @Barb Binder - the current options are horrible - Tables can't even autofit to textframes without a script. :|

Adding row height controls to cell styles would be a great addition to InDesign.

Also, FrameMaker has a column resize option that I miss in InDesign—where you can select a column and ask Fm to scan the entire column (potentially across multiple pages) and size the column to fit the widest entry. It's really useful for the stub.

I am also facing same table importing issues in Adobe InDesign. Please provide an solution to avoid this issues.