Often used to show care in a warm, affectionate way, especially towards people. Grandparents love fussing over their grandchildren.
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Negative Implication
Can imply the attention given is unnecessary or excessive. He fussed over the arrangements, much to everyone's irritation.
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Caring Action
Describes actions taken to comfort or take care of someone, often going above what's needed. She fussed over me when I was sick, making soup and fluffing my pillows.