noun
A burr is a small, prickly seed or fruit that can get stuck in clothing or animal fur.
preposition
In/under indicates the location of the burr in relation to the saddle.
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The constant complaints from the employee were like a burr in the saddle for the manager.
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Her constant nagging about the project deadline was a real burr in my saddle.
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His constant teasing about my new haircut was a real burr in my saddle.
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The unresolved issue between the two countries was like a burr in the saddle of their diplomatic relations.