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sidle up (from someone or something)
To move gradually, inconspicuously, or surreptitiously up to or toward someone or something. As soon as you step foot in the city center, panhandlers begin sidling up looking for handouts. She sidled up to me with a sultry look in her eyes.
sidle up (to someone or something)
to move close to someone or something cautiously or furtively; to move closer to someone or something gradually. Tex sidled up to Dolly and said howdy in a soft, shy voice. Dolly sidled up and picked the cowboy's pocket.
To advance in an unobtrusive, furtive, or coy way: At the train station, swindlers sidled up to the tourists.