A messy desk is a barrier to productivity.
Meaning: This means that a messy and disorganized desk can make it difficult for you to get work done.
Choice of Words: Messy means untidy and disorganized. Barrier means something that prevents or hinders progress. Productivity means the rate at which something is produced. When you combine them, "A messy desk is a barrier to productivity" means that a messy and disorganized desk can prevent you from being productive.
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