Thank you for reaching out about QuickBooks Online. At this time, the option to show the description in the Customer Transactions list isn't available.
I can see how being able to view the description there would be beneficial for you. I encourage you to leave feedback by heading to the Gear icon and selecting the "Feedback" option. These comments are viewed and considered by our developers as they create new features for QuickBooks.
If you have any other questions, don't hesitate let me know here.
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